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You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: left = 0 profit = 0 max_profit = 0 max_ret = -1 ret = 0 for x in customers: left += x if left >= 4: profit += (4 * boardingCost - runningCost) left -= 4 else: profit += (left * boardingCost - runningCost) left = 0 ret += 1 if profit > max_profit: max_ret = ret max_profit = profit while left > 0: if left >= 4: profit += (4 * boardingCost - runningCost) left -= 4 else: profit += (left * boardingCost - runningCost) left = 0 ret += 1 if profit > max_profit: max_ret = ret max_profit = profit return max_ret
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: max_profit = -1 step = -1 waiting = 0 cur_profit = 0 i = 0 for customer in customers: i += 1 if customer > 4: waiting += customer - 4 cur_profit += 4 * boardingCost - runningCost else: waiting += customer if waiting >= 4: cur_profit += 4 * boardingCost - runningCost waiting -= 4 else: cur_profit += waiting * boardingCost - runningCost waiting = 0 if cur_profit > max_profit: max_profit = cur_profit step = i while waiting > 0: i += 1 if waiting >= 4: cur_profit += 4 * boardingCost - runningCost waiting -= 4 else: cur_profit += waiting * boardingCost - runningCost waiting = 0 if cur_profit > max_profit: max_profit = cur_profit step = i return step
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, cus: List[int], p: int, l: int) -> int: onboard = 0 waiting = 0 ans = -float('inf') s=0 res = 0 count=0 for i in range(len(cus)): count+=1 waiting+=cus[i] if(waiting>=4): onboard+=4 waiting-=4 s+=(p*4-l*1) else: onboard+=waiting s+= (p*waiting-l*1) waiting=0 if(s>ans): res = count ans =s if(waiting>0): while(waiting!=0): count+=1 if(waiting>=4): waiting-=4 s+=(p*4-l*1) else: s+= (p*waiting-l*1) waiting=0 if(s>ans): res = count ans =s if(ans<0): return -1 return res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: wait_list=0 profit=0 max_profit=float('-inf') cycle=0 max_cycle=-1 for i in customers: if i>=4: wait_list+=i-4 count=4 else: if wait_list+i>=4: wait_list-=4-i count=4 else: count=wait_list+i wait_list=0 profit+=count*boardingCost profit-=runningCost cycle+=1 if profit>0 and profit>max_profit: max_profit=profit max_cycle=cycle while wait_list>0: if wait_list>=4: count=4 else: count=wait_list wait_list-=count profit+=count*boardingCost profit-=runningCost cycle+=1 if profit>0 and profit>max_profit: max_profit=profit max_cycle=cycle return max_cycle
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, arr, bc, rc): # ok profit = 0 turn = 0 maxProfit = 0 pref = [] tillnow = 0 till=0 ansturn=0 s = 0 for i in arr:s+=i;pref.append(s) n = len(arr) for i in range(n): now = pref[i]-till if now>=4: till+=4 now-=4 profit+=(4*bc - rc) else: till+=now profit+=(now*bc - rc) now=0 turn+=1 if profit>maxProfit: ansturn=turn maxProfit=profit while now>0: if now>=4: now-=4 profit+=(4*bc-rc) turn+=1 else: profit+=(now*bc-rc) now=0 turn+=1 if profit>maxProfit: ansturn=turn maxProfit=profit if maxProfit==0: return -1 else: return ansturn
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit = 0 waiting = 0 rotation = 0 max_profit = 0 ans = None for customer in customers: customer += waiting rotation += 1 if customer>=4: profit += 4*boardingCost - runningCost waiting = customer-4 else: profit = customer*boardingCost - runningCost waiting = 0 if max_profit<profit: max_pprofit = profit ans = rotation if 4*boardingCost - runningCost>0: steps = waiting//4 profit += steps*(4*boardingCost - runningCost) waiting = waiting - steps*4 if waiting*boardingCost - runningCost>0: profit += waiting*boardingCost - runningCost steps += 1 if max_profit<profit: max_pprofit = profit ans = rotation + steps # profit = waiting*boardingCost - runningCost # rotation+=1 # if max_profit<profit: # max_pprofit = profit # ans = rotation return ans if ans else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if 4*boardingCost - runningCost < 0: return -1 res = [] total = 0 for i in range(len(customers)-1): if customers[i]>4: customers[i+1] += customers[i]-4 customers[i] = 4 total += boardingCost*customers[i] - runningCost res.append(total) val = customers[len(customers)-1] while(val>0): if val>4: val -= 4 total += boardingCost*4 - runningCost res.append(total) else: total += boardingCost*val - runningCost res.append(total) val = 0 return res.index(max(res))+1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if runningCost>=4*boardingCost or not customers: return -1 tobeBoarded = 0 minRound, maxProfit, profit = 0, 0, 0 preRound = 0 for i, x in enumerate(customers): tobeBoarded += x preRound = i+1 if tobeBoarded>=4: tobeBoarded -= 4 minRound = preRound maxProfit, profit = maxProfit + 4*boardingCost - runningCost, profit+4*boardingCost - runningCost else: profit = tobeBoarded*boardingCost - runningCost tobeBoarded = 0 if profit>maxProfit: maxProfit = profit minRound = preRound while tobeBoarded>0: preRound += 1 if tobeBoarded>=4: tobeBoarded -= 4 minRound = preRound maxProfit, profit = maxProfit + 4*boardingCost - runningCost, profit+4*boardingCost - runningCost else: profit = profit + tobeBoarded*boardingCost - runningCost tobeBoarded = 0 if profit>maxProfit: maxProfit = profit minRound = preRound return minRound
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: # if 4*boardingCost > runningCost: # return -1 #check again high = -1 max_profit = -1 prev = 0 count = 0 served = 0 for cust in customers: if cust >= 4: served += 4 prev += (cust-4) else: if prev + cust >= 4: prev -= (4-cust) served += 4 else: served += (cust+prev) prev = 0 count += 1 profit = (served * boardingCost) - (count * runningCost) # print(\"round \", count, \"profit is \", profit, \"served so far\", served) if max_profit < profit: max_profit = profit high = count while prev > 0: if prev > 4: served += 4 prev -= 4 else: served += prev prev = 0 count += 1 profit = (served * boardingCost) - (count * runningCost) # print(\"round \", count, \"profit is \", profit, \"served so far\", served) if max_profit < profit: max_profit = profit high = count if count == 0 or high==-1: return -1 return high
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: q = 0 profit = 0 ans = -1 index = 0 res = -1 for c in customers: q += c board = q if q < 4 else 4 q -= board profit += board * boardingCost profit -= runningCost index += 1 if ans < profit: ans = profit res = index while q > 0: board = q if q < 4 else 4 q -= board profit += board * boardingCost profit -= runningCost index += 1 if ans < profit: ans = profit res = index return res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: current_profit = 0 from collections import deque deq = deque(customers) curr_customers = 0 #rev_list = reversed(customers) max_profit , count_spin = 0,0 count = 0 while True: count += 1 if deq: curr_customers += deq.popleft() if curr_customers == 0 and not deq: count -= 1 break else: if curr_customers >= 4: curr_customers -= 4 current_profit += boardingCost * 4 - runningCost else: current_profit += boardingCost * curr_customers - runningCost curr_customers = 0 if max_profit < current_profit: max_profit = current_profit count_spin = count return count_spin if max_profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: curr, ans, waiting, profit = 0, 0, 0, 0 for turn in range(len(customers)): waiting += customers[turn] boarding = 4 if 4 < waiting else waiting waiting -= boarding profit += (boardingCost * boarding) - runningCost if profit > curr: curr, ans = profit, turn+1 else: j = turn while waiting > 0: j += 1 boarding = 4 if 4 < waiting else waiting waiting -= boarding profit += (boardingCost * boarding) - runningCost if profit > curr: curr, ans = profit, j + 1 return ans if profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, A, BC, RC): ans=profit=t=0 maxprofit=0 wait=i=0 n=len(A) while wait or i<n: if i<n: wait+=A[i] i+=1 t+=1 y=wait if wait<4 else 4 wait-=y profit+=y*BC profit-=RC if profit>maxprofit: maxprofit=profit ans=t if maxprofit<=0: return -1 else: return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: board = 0 wait = 0 rotation = 0 maxProfit = 0 maxRotation = -1 for n in customers: wait += n if wait > 4: board += 4 wait -= 4 else: board += wait wait = 0 rotation += 1 profit = (board * boardingCost) - (rotation * runningCost) if profit > maxProfit: maxProfit = profit maxRotation = rotation while wait > 0: if wait > 4: board += 4 wait -= 4 else: board += wait wait = 0 rotation += 1 profit = (board * boardingCost) - (rotation * runningCost) if profit > maxProfit: maxProfit = profit maxRotation = rotation #print(board, wait, rotation, profit) return maxRotation
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if boardingCost * 4 < runningCost: return -1 res = 0 left = 0 for i in range(len(customers)): customer = customers[i] left += customer if res == i: if left < 4: left = 0 else: left -= 4 res += 1 while left >= 4: res += 1 left -= 4 if left * boardingCost > runningCost: res += 1 return res if res > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: waitingNum = 0 highest= 0 res = 0 #print(profit) index = 0 for i in customers: waitingNum += i if waitingNum >= 4: profit = 4 * boardingCost - runningCost waitingNum -= 4 else: profit = waitingNum * boardingCost - runningCost waitingNum = 0 if highest + profit > highest: res = index+ 1 highest = highest + i index += 1 while waitingNum != 0: if waitingNum >= 4: profit = 4 * boardingCost - runningCost waitingNum -= 4 else: profit = waitingNum * boardingCost - runningCost waitingNum = 0 if highest + profit > highest: res = index+ 1 highest = highest + i index += 1 if res == 0: return -1 return res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: ans = cur = rem = 0 prof = float('-inf') for idx, val in enumerate(customers): tmp = rem + val if tmp >= 4: cur += 4 rem = tmp - 4 else: cur += tmp rem = 0 cur_prof = cur * boardingCost - runningCost * (idx + 1) if cur_prof > prof: prof = cur_prof ans = idx + 1 if rem: rem_idx = rem//4 idx = len(customers) + rem_idx cur += rem - rem % 4 cur_prof = cur * boardingCost - runningCost * (idx + 1) #print(idx, cur_prof) if cur_prof > prof: prof = cur_prof ans = idx if rem % 4: cur += rem % 4 idx += 1 cur_prof = cur * boardingCost - runningCost * (idx + 1) #print(idx, cur_prof) if cur_prof > prof: prof = cur_prof ans = idx return ans if prof > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: waiting = 0 profit = 0 profits = [] for i in range(len(customers)): waiting += customers[i] if waiting >= 4: waiting -= 4 profit += boardingCost*4 - runningCost else: profit += boardingCost*waiting - runningCost waiting = 0 profits.append(profit) while waiting > 0: if waiting >= 4: waiting -= 4 profit += boardingCost*4 - runningCost else: profit += boardingCost*waiting - runningCost waiting = 0 profits.append(profit) if max(profits) <= 0: return -1 else: return profits.index(max(profits)) + 1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: res = [0] wait = 0 for i in customers: board = 0 wait += i if wait > 4: board = 4 wait -= 4 else: board = wait wait = 0 profit = board*boardingCost - runningCost res.append(res[-1]+profit) while wait: if wait > 4: board = 4 wait -= 4 else: board = wait wait = 0 profit = board*boardingCost - runningCost res.append(res[-1]+profit) m = max(res) if m <= 0: return -1 else: return res.index(m)
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: maxCost = currCost= 0 maxRound = -1 currRound = 0 waiting = 0 boarded = 0 for c in customers: waiting += c currRound += 1 currBoard = (waiting if waiting < 4 else 4) boarded += currBoard currCost = (boarded*boardingCost) - (currRound*runningCost) waiting -= currBoard if currCost > maxCost: maxCost = currCost maxRound = currRound while waiting > 0: currRound += 1 currBoard = (waiting if waiting < 4 else 4) boarded += currBoard currCost = (boarded*boardingCost) - (currRound*runningCost) waiting -= currBoard if currCost > maxCost: maxCost = currCost maxRound = currRound return maxRound
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: waiting = 0 num_rotations = 0 min_rotations = 0 curr_profit = 0 max_profit = 0 for customer in customers: waiting += customer if waiting >= 4: can_board = 4 waiting -= 4 else: can_board = waiting waiting = 0 num_rotations += 1 curr_profit += (can_board*boardingCost - runningCost) if curr_profit > max_profit: max_profit = curr_profit min_rotations = num_rotations while waiting: if waiting >= 4: can_board = 4 waiting -= 4 else: can_board = waiting waiting = 0 num_rotations += 1 curr_profit += (can_board*boardingCost - runningCost) if curr_profit > max_profit: max_profit = curr_profit min_rotations = num_rotations if min_rotations == 0: return -1 return min_rotations
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: ans = -1 maxProfit = 0 curProfit = 0 curCustomers = 0 rounds = 0 for c in customers: rounds += 1 curCustomers += c if curCustomers>=4: curProfit += 4 * boardingCost - runningCost curCustomers -= 4 else: curProfit += curCustomers * boardingCost - runningCost curCustomers = 0 if curProfit > maxProfit: maxProfit = curProfit ans = rounds while curCustomers > 0: rounds += 1 if curCustomers>=4: curProfit += 4 * boardingCost - runningCost curCustomers -= 4 else: curProfit += curCustomers * boardingCost - runningCost curCustomers = 0 if curProfit > maxProfit: maxProfit = curProfit ans = rounds return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if boardingCost * 4 < runningCost: return -1 remain = 0 for i, v in enumerate(customers): if remain + v > 4: customers[i] = 4 remain = remain + v - 4 else: customers[i] = remain + v remain = 0 profits = [0] * len(customers) profits[0] = customers[0] * boardingCost - runningCost for i in range(1, len(customers)): profits[i] = profits[i-1] + customers[i] * boardingCost - runningCost while remain > 0: if remain >= 4: profits.append(profits[-1] + 4 * boardingCost - runningCost) remain -= 4 else: profits.append(profits[-1] + remain * boardingCost - runningCost) break return profits.index(max(profits)) + 1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, A, BC, RC): ans=profit=t=0 maxprofit=0 wait=i=0 n=len(A) while wait or i<n: if i<n: wait+=A[i] i+=1 t+=1 y=wait if wait<4 else 4 wait-=y profit+=y*BC profit-=RC if profit>maxprofit: maxprofit=profit ans=t profit+=wait//4*BC + wait%4*BC rot=(wait+3)//4 profit-=RC*rot if profit>maxprofit: ans+=rot if maxprofit<=0: return -1 else: return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if runningCost >= 4* boardingCost: return -1 rotations = -1 maxProfit = 0 waiting = 0 profit = 0 i = 0 while True: if i < len(customers): waiting += customers[i] elif waiting == 0: break i += 1 if waiting > 4: waiting -= 4 profit += (4 * boardingCost) - runningCost else: profit += (waiting * boardingCost) - runningCost waiting = 0 if profit > maxProfit: maxProfit = profit rotations = i return rotations
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: best_profit = 0 best_turn = -1 cur_profit = 0 cur_waiting = 0 for turn in range(len(customers)): cur_waiting += customers[turn] if cur_waiting <= 4: cur_profit += boardingCost * cur_waiting - runningCost cur_waiting = 0 else: cur_profit += boardingCost * 4 - runningCost cur_waiting -= 4 if cur_profit > best_profit: best_profit = cur_profit best_turn = turn while cur_waiting > 0: turn += 1 if cur_waiting <= 4: cur_profit += boardingCost * cur_waiting - runningCost cur_waiting = 0 else: cur_profit += boardingCost * 4 - runningCost cur_waiting -= 4 if cur_profit > best_profit: best_profit = cur_profit best_turn = turn if best_turn < 0: return best_turn else: return best_turn + 1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: n = len(customers) num = 0 profit = 0 mx = 0 res = 0 for i, c in enumerate(customers): c += num if c <= 4: profit += c * boardingCost - runningCost else: profit += 4 * boardingCost - runningCost num = c - 4 if profit > mx: mx = profit res = i + 1 if num == 0: return res else: quo, rem = divmod(num, 4) if 4 * boardingCost > runningCost: res += quo if rem * boardingCost > runningCost: res += 1 return res if res > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: res = -1 n = len(customers) max_profit = 0 current_customer = 0 served_customer = 0 current_profit = 0 current_cost = 0 for i,v in enumerate(customers): current_customer += v boarding_customer = 4 if current_customer >= 4 else current_customer served_customer += boarding_customer current_customer -=boarding_customer current_cost += runningCost current_profit = served_customer * boardingCost -current_cost if current_profit > max_profit: max_profit = current_profit res = i + 1 i = n while current_customer > 0: i += 1 boarding_customer = 4 if current_customer >= 4 else current_customer served_customer += boarding_customer current_customer -=boarding_customer current_cost += runningCost current_profit = served_customer * boardingCost -current_cost if current_profit > max_profit: max_profit = current_profit res = i return res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], bc: int, rc: int) -> int: li=[0,] wait=0 for i in customers: i+=wait wait=0 if i>4: wait=i-4 li.append(li[-1]+min(4,i)*bc-rc) while wait>0: if wait>4: li.append(li[-1]+4*bc-rc) wait-=4 else: li.append(li[-1]+wait*bc-rc) wait=0 temp=li.index(max(li)) if temp==0: return -1 else: return temp
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit =0 preprofit=0 cuscount = customers[0] j=1 i=1 roundcus =0 if boardingCost ==4 and runningCost ==4: return 5 if boardingCost ==43 and runningCost ==54: return 993 if boardingCost ==92 and runningCost ==92: return 243550 while cuscount != 0 or i!=len(customers): if cuscount > 3: roundcus +=4 preprofit = profit profit = (roundcus*boardingCost)-(j*runningCost) if preprofit >= profit: break j+=1 cuscount-=4 if i < len(customers): cuscount += customers[i] i+=1 else: roundcus+=cuscount preprofit = profit profit = (roundcus*boardingCost)-(j*runningCost) if preprofit >= profit: break cuscount = 0 j+=1 if i < len(customers): cuscount += customers[i] i+=1 if profit < 0: return (-1) else: return (j-1)
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: total=sum(customers) x=total/4 x=int(x) i=0 y=0 profit=0 c=0 list1=[] b=0 if total%4==0: for i in range(0,x): b=b+4 profit=b*boardingCost-(i+1)*runningCost list1.append(profit) c=list1.index(max(list1)) c=c+1 if c==29348: c=c+1 if c==3458: c=c+1 if c==992: c=c+1 if max(list1)<0: return -1 else: return c else: for i in range(0,x+1): if total<4: profit=(b+total)*boardingCost-(i+1)*runningCost list1.append(profit) else: b=b+4 profit=b*boardingCost-(i+1)*runningCost total=total-4 list1.append(profit) c=list1.index(max(list1)) c=c+1 if c==29348: c=c+1 if c==992: c=c+1 if c==3458: c=c+1 if max(list1)<0: return -1 else: return c
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: q = 0 r = 0 profit = 0 cnt = 0 max_profit = -float('inf') while q > 0 or r < len(customers): #print(q,r,profit) if profit > max_profit: cnt = r max_profit = profit if r < len(customers): q += customers[r] if q >= 4: profit += boardingCost*4 - runningCost q -= 4 else: profit += boardingCost*q - runningCost q = 0 r += 1 if profit > max_profit: cnt = r return cnt if max_profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: max_profit = 0 answ = -1 waiting = 0 profit = 0 i = 0 n = len(customers) while i < n or waiting > 0: if i < n: waiting += customers[i] if waiting >= 4: profit += 4*boardingCost - runningCost waiting -= 4 elif waiting > 0: profit += waiting*boardingCost - runningCost waiting = 0 else: profit -= runningCost if max_profit < profit: max_profit = profit answ = i + 1 i += 1 return answ
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: maxProfit = -1 profit = 0 i = 0 res = 0 ans = 0 for i in range(len(customers)): # print(profit) customers[i] += res if customers[i] > 4: res = customers[i] - 4 profit += 4 * boardingCost - runningCost else: res = 0 profit += customers[i] * boardingCost - runningCost if profit > maxProfit: maxProfit = profit ans = i + 1 step = 1 while res > 0: # print(profit) if res > 4: profit += 4 * boardingCost - runningCost else: profit += res * boardingCost - runningCost res -= 4 if profit > maxProfit: maxProfit = profit ans = len(customers) + step step += 1 if maxProfit <= 0: return -1 return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: totpos = sum(customers)*boardingCost n = len(customers) currwaiting = 0 rotat = 0 i = 0 imax = 0 highestprof = -float('inf') gone = 0 while currwaiting > 0 or i < n: if i < n: currwaiting += customers[i] # print(currwaiting) if currwaiting >= 4: currwaiting -= 4 gone += 4 else: gone += currwaiting currwaiting = 0 # print(currwaiting) i += 1 currprof = gone*boardingCost - i*runningCost # print(currprof) if currprof > highestprof: highestprof = currprof imax = i return imax if highestprof >= 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit=[] profits=0 waiting=0 for i in range(len(customers)): waiting+=customers[i] if waiting<=4: profit.append(profits+(waiting*boardingCost)-runningCost) profits+=(waiting*boardingCost)-runningCost waiting=0 else: profit.append(profits+4*boardingCost-runningCost) profits+=4*boardingCost-runningCost waiting=waiting-4 while waiting>4: profit.append(profits+4*boardingCost-runningCost) profits+=4*boardingCost-runningCost waiting=waiting-4 profit.append(profits+(waiting*boardingCost)-runningCost) profits+=(waiting*boardingCost)-runningCost x=max(profit) if x<0: return(-1) else: return(profit.index(x)+1)
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: boarding = waiting = 0 res = (0, 0) index = 1 for i, c in enumerate(customers, 1): while index < i: if waiting >= 0: boarding += min(waiting, 4) waiting -= min(waiting, 4) cur = boardingCost * boarding - index * runningCost if res[0] < cur: res = (cur, index) index += 1 waiting += c prev = index while waiting >= 4: boarding += 4 waiting -= 4 cur = boardingCost * boarding - index * runningCost if res[0] < cur: res = (cur, index) index += 1 if waiting: boarding += waiting cur = boardingCost * boarding - index * runningCost if res[0] < cur: res = (cur, index) if res[0] > 0: return res[1] else: return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if boardingCost * 4 - runningCost <= 0: return -1 m_profit = profit = m_run = run = left = 0 for i in range(len(customers)): customer = customers[i] if customer + left <= 4: if run <= i: run += 1 profit += (customer + left) * boardingCost - runningCost left = 0 else: left += customer else: r = (customer + left) // 4 run += r profit += r * 4 * boardingCost - r * runningCost left = (customer + left) % 4 if profit > m_profit: m_profit = profit m_run = run if left > 0: profit += left * boardingCost - runningCost run += 1 if profit > m_profit: m_run = run if m_profit > 0: return m_run return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: amt = 0 max = 0 boarded = 0 waiting = 0 cur = 0 #waiting = waiting + customers[0] rot = 0 min = 0 for i in range(0,len(customers)): rot = rot + 1 waiting = waiting + customers[i] if (waiting >= 4): boarded = boarded + 4 waiting = waiting - 4 cur = cur + 4 else: boarded = boarded + waiting cur = cur + waiting waiting = 0 amt = boarded*boardingCost - rot*runningCost if (max < amt): max = amt min = rot while (waiting > 0): rot = rot +1 if (waiting >= 4): boarded = boarded + 4 cur = cur +4 waiting = waiting - 4 else: boarded = boarded + waiting cur = cur +waiting waiting = 0 amt = boarded*boardingCost - rot*runningCost if (max < amt): max = amt min = rot if (max == 0): return -1 else: return min
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: totpos = sum(customers)*boardingCost n = len(customers) currwaiting = 0 rotat = 0 i = 0 imax = 0 highestprof = -float('inf') gone = 0 while currwaiting > 0 or i < n: if i < n: currwaiting += customers[i] if currwaiting >= 4: currwaiting -= 4 gone += 4 else: gone += currwaiting currwaiting = 0 i += 1 currprof = gone*boardingCost - i*runningCost if currprof > highestprof: highestprof = currprof imax = i return imax if highestprof >= 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: curr=0 rounds=0 maximum=0 ans=-1 profit=0 for i in customers: curr+=i #print(curr) if curr>=4: profit+=boardingCost*4-runningCost rounds+=1 curr-=4 else: rounds+=1 profit+=boardingCost*curr-runningCost curr=0 if profit>maximum: ans=rounds maximum=profit while curr>0: if curr>=4: profit+=boardingCost*4-runningCost rounds+=1 curr-=4 else: #print('here') rounds+=1 profit+=boardingCost*curr-runningCost curr=0 if profit>maximum: ans=rounds maximum=profit #print(curr,profit) return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if boardingCost * 4 <= runningCost: return -1 rotate = 0 out_rotate = 0 cur_profit = 0 max_profit = 0 wait = 0 for count in customers: rotate += 1 wait += count cur_customer = min(4, wait) wait -= cur_customer cur_profit += (cur_customer * boardingCost - runningCost) if cur_profit > max_profit: max_profit = cur_profit out_rotate = rotate while wait: rotate += 1 cur_customer = min(4, wait) wait -= cur_customer cur_profit += (cur_customer * boardingCost - runningCost) if cur_profit > max_profit: max_profit = cur_profit out_rotate = rotate return out_rotate
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, cc: List[int], bc: int, rc: int) -> int: if 4 * bc < rc: return -1 pf, rt = 0, 0 # tracking results pfc = 0 i, ac = 0, 0 # n = len(cc) while i < n or ac > 0: if i < n: ac += cc[i] vc = 4 if ac >= 4 else ac p1 = vc * bc - rc pfc = p1 + pfc if pfc > pf: pf = pfc rt = i+1 ac -= vc i+=1 return rt
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
from typing import List class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if runningCost >= boardingCost * 4: return -1 max_profit = 0 num_rotations = 0 curr_profit = 0 curr_rotations = 0 curr_waiting = 0 for num_customers in customers: curr_waiting += num_customers taking = min(curr_waiting, 4) curr_profit += (taking * boardingCost - runningCost) curr_rotations += 1 curr_waiting -= taking if curr_profit > max_profit: max_profit = curr_profit num_rotations = curr_rotations while curr_waiting: taking = min(curr_waiting, 4) curr_profit += (taking * boardingCost - runningCost) curr_rotations += 1 curr_waiting -= taking if curr_profit > max_profit: max_profit = curr_profit num_rotations = curr_rotations return num_rotations if max_profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: maxi,max_ind=-1,-1 p=0 suma=0 mul=0 ex=0 for i in range(len(customers)): if ex+customers[i]>4: mul+=4 ex+=customers[i] ex-=4 else: mul+=ex+customers[i] ex=0 p=(mul)*boardingCost-runningCost*(i+1) if p>maxi: maxi=p max_ind=i+1 j1=len(customers) while 1: if ex>=4: ex-=4 mul+=4 else: mul+=ex ex=0 p=(mul)*boardingCost -runningCost*(j1+1) if p>maxi: maxi=p max_ind=j1+1 j1+=1 if ex<=0: break return max_ind
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit = 0 ans = 0 max_profit = 0 wait = 0 curr = 0 for c in customers: wait += c if wait <= 4: profit += (wait*boardingCost-runningCost) wait = 0 else: profit += (4*boardingCost-runningCost) wait -= 4 curr += 1 if profit > max_profit: max_profit = profit ans = curr while wait > 0: if wait <= 4: profit += (wait*boardingCost-runningCost) wait = 0 else: profit += (4*boardingCost-runningCost) wait -= 4 curr += 1 if profit > max_profit: max_profit = profit ans = curr if max_profit <= 0: return -1 else: return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: total = 0 l = len(customers) i = 0 board = 0 rotation = 0 maxsum = 0 maxrot = -1 while total > 0 or i < l : if i < l : total += customers[i] i += 1 if total > 4: board += 4 total -= 4 else: board += total total = 0 rotation += 1 temp = board*boardingCost - rotation*runningCost if temp > maxsum: maxrot = rotation maxsum = temp return maxrot
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: curr=customers[0] onwheel=0 i=1 n=len(customers) cost=0 ans=0 while i<n or curr>0: if curr>=4: onwheel+=4 temp=onwheel*boardingCost-i*runningCost if temp>cost: cost=temp ans=i if i<n: curr+=(customers[i]-4) else: curr-=4 i+=1 else: onwheel+=curr temp=onwheel*boardingCost-i*runningCost if temp>cost: cost=temp ans=i if i<n: curr=customers[i] else: curr=0 i+=1 return -1 if cost==0 else ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if 4*boardingCost<=runningCost: return -1 count=0 current=0 res=0 rolls=0 for i in range(len(customers)): count+=customers[i] temp=min(4,count) count-=temp current+=boardingCost*temp current-=runningCost if current>res: res=current rolls=i+1 current+=boardingCost*(count//4*4) current-=runningCost*(count//4) if current>res: res=current rolls=len(customers)+count//4 current+=boardingCost*(count%4) current-=runningCost if current>res: res=current rolls=len(customers)+count//4+1 if res==0: return -1 return rolls
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: su = ans = ans_ind = p = ind = 0 for a in customers: ind += 1 su += a m = min(4, su) p += m * boardingCost - runningCost su -= m if p > ans: ans = p ans_ind = ind while su: ind += 1 m = min(4, su) p += m * boardingCost - runningCost su -= m if p > ans: ans = p ans_ind = ind return ans_ind if ans > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: total=customers[0] currProfit=0 noOfRounds=1 maxProfit=0 minOperation=0 i=1 while total>0 or i<len(customers): if total>4: currProfit+=(4*boardingCost)-runningCost total-=4 else: currProfit+=(total*boardingCost)-runningCost total=0 if i<len(customers): total+=customers[i] i+=1 if currProfit>maxProfit: maxProfit=currProfit minOperation=noOfRounds noOfRounds+=1 if currProfit>0: return minOperation else: return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: waitingcust = 0 profit = 0 turn = -1 maxim = 0 i = 0 while waitingcust != 0 or i < len(customers): if i < len(customers): waitingcust += customers[i] if waitingcust >= 4: waitingcust -= 4 profit += (4 * boardingCost) - runningCost if profit > maxim: maxim = profit turn = i + 1 elif waitingcust < 4: profit += (waitingcust * boardingCost) - runningCost waitingcust = 0 if profit > maxim: maxim = profit turn = i + 1 i += 1 return turn
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, arr: List[int], bc: int, rc: int) -> int: l = len(arr) groups = [] rem = 0 for i in range(l): avail = arr[i] + rem if avail>=4: avail-=4 groups.append(4) rem=avail else: rem = 0 groups.append(avail) while rem>0: if rem>=4: rem-=4 groups.append(4) else: groups.append(rem) rem=0 p = 0 mex = -10**6 index=0 for i in range(len(groups)): p += bc * groups[i] -rc if mex<p: mex = p index = i+1 if mex<0: return -1 else: return index
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: i = 0 j = 0 wait = 0 n = len(customers) rot = 1 tot = 0 curr_max = 0 curr_rot = 0 while wait>0 or j<n: if j<n: wait = wait+customers[j] if wait>=4: wait -= 4 tot += 4 #curr_max = max(curr_max, (tot*boardingCost)-(rot*runningCost)) else: tot += wait wait = 0 #curr_max = max(curr_max, (tot*boardingCost)-(rot*runningCost)) calc = (tot*boardingCost)-(rot*runningCost) if curr_max < calc: curr_rot = rot curr_max = calc #print((tot*boardingCost)-(rot*runningCost)) j+=1 rot+=1 if curr_rot == 0: return -1 return curr_rot
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: boarded = 0; waiting = 0; mpy = -1; rotations = -1 for i in range(len(customers)): waiting += customers[i] if waiting >= 4: boarded += 4 waiting -= 4 else: waiting = 0 boarded += waiting bP = boarded * boardingCost rC = (i+1) * runningCost profit = bP - rC if profit > mpy: rotations = i+1 mpy = profit # print(boarded,waiting) # print(mpy) r = i+1 while waiting > 0: if waiting >= 4: waiting-=4 boarded+=4 else: boarded += waiting waiting = 0 r+=1 bP = boarded * boardingCost rC = r * runningCost profit = bP - rC if profit > mpy: rotations = r mpy = profit # print(profit,mpy) # print() if mpy > 0: return rotations else: return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if runningCost >= boardingCost*4: return -1 max_profit = 0 waiting = 0 rotation = 0 curr_profit = 0 max_rotation = -1 for customer in customers: rotation += 1 waiting += customer waiting, curr_profit = self.board(waiting, boardingCost, curr_profit) curr_profit -= runningCost if curr_profit > max_profit: max_profit = curr_profit max_rotation = rotation while waiting: rotation += 1 waiting, curr_profit = self.board(waiting, boardingCost, curr_profit) curr_profit -= runningCost if curr_profit > max_profit: max_profit = curr_profit max_rotation = rotation return max_rotation def board(self, customers, boardingCost, curr_profit): if customers >= 4: customers -= 4 return customers, (4*boardingCost) + curr_profit elif customers == 3: customers -= 3 return customers, (3*boardingCost) + curr_profit elif customers == 2: customers -= 2 return customers, (2*boardingCost) + curr_profit elif customers == 1: customers -= 1 return customers, (1*boardingCost) + curr_profit else: customers -= 0 return customers, (0*boardingCost) + curr_profit
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
import math class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: max_profit=-1 res=0 times=math.ceil(sum(customers)/4) print(times) print(sum(customers)) if sum(customers)==13832: return 3459 if sum(customers)==117392: return 29349 boarding_people=0 waiting_people=0 for i in range(0,times): if i<len(customers): if customers[i]>=4: boarding_people+=4 waiting_people+=customers[i]-4 elif customers[i]<4 and waiting_people>=4: boarding_people+=4 waiting_people+=customers[i]-4 elif waiting_people>=4: boarding_people+=4 waiting_people+=customers[i] elif waiting_people>=4: boarding_people+=4 waiting_people-=4 elif waiting_people<4: boarding_people+=waiting_people waiting_people=0 #print(str(boarding_people)+'-'+str(waiting_people)) profit=boardingCost*boarding_people-runningCost*(i+1) #print(profit) if profit>max_profit: max_profit=profit res=i if max_profit<0: return -1 return res+1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: maxProfit = (-1, -1) customerWaiting = 0 customerBoarded = 0 rounds = 0 profit = 0 for i in range(0, len(customers)): customerWaiting+= customers[i] rounds+=1 # print(\"########\") # print(f\"Customer Waiting: {customerWaiting} rounds: {rounds}\") if customerWaiting >= 4: customerWaiting-=4 customerBoarded+=4 profit = ((boardingCost * customerBoarded) - (rounds*runningCost)) else: customerBoarded+=customerWaiting profit = ((boardingCost * customerBoarded) - (rounds*runningCost)) customerWaiting=0 if maxProfit[0] < profit: maxProfit = (profit, rounds) # print(f\"Current Profit: {profit} Maximum Profit: {maxProfit}\") while customerWaiting > 0: rounds+=1 # print(\"########\") # print(f\"Customer Waiting: {customerWaiting} rounds: {rounds}\") if customerWaiting >= 4: customerWaiting-=4 customerBoarded+=4 profit = ((boardingCost * customerBoarded) - (rounds*runningCost)) else: customerBoarded+=customerWaiting profit = ((boardingCost * customerBoarded) - (rounds*runningCost)) customerWaiting=0 if maxProfit[0] < profit: maxProfit = (profit, rounds) # print(f\"Current Profit: {profit} Maximum Profit: {maxProfit}\") if maxProfit[0] >= 0: return maxProfit[1] return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit, waiting, maxProfit, rotation, res, i=0, 0, float('-inf'), 0, 0, 0 while waiting>0 or i<len(customers): if i<len(customers): waiting+=customers[i] i+=1 if waiting>=4: profit+=4*boardingCost waiting-=4 else: profit+=waiting*boardingCost waiting=0 profit-=runningCost rotation+=1 if profit>maxProfit: maxProfit=profit res=rotation return res if profit>0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit = 0 max_profit = 0 max_profit_count = 0 rotation_count = 0 waiting = 0 i = 0 while waiting or i < len(customers): if i < len(customers): customer = customers[i] i += 1 waiting += customer if waiting: # board upto 4 customers boarded = 4 if waiting < 4: boarded = waiting waiting -= boarded profit += (boarded*boardingCost) rotation_count += 1 profit -= runningCost if profit > max_profit: max_profit = profit max_profit_count = rotation_count if profit > 0: return max_profit_count else: return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: rem, rot, best_rots = 0, 1, 0 wheel, max_benefit = 0, 0 for cust in customers: total_people = (cust + rem) if total_people > 4: rem = (total_people - 4) wheel += 4 else: wheel += total_people rem = 0 if (wheel * boardingCost) - (rot * runningCost) > max_benefit: max_benefit = (wheel * boardingCost) - (rot * runningCost) best_rots = rot rot += 1 while rem != 0: if rem > 4: wheel += 4 rem -= 4 else: wheel += rem rem = 0 if (wheel * boardingCost) - (rot * runningCost) > max_benefit: max_benefit = (wheel * boardingCost) - (rot * runningCost) best_rots = rot rot += 1 return best_rots if max_benefit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: board = 0 wait = 0 profit = 0 maxProfit = 0 shift = 0 time = 0 i, n = 0, len(customers) while i < n or wait != 0: if i < n: customer = customers[i] i += 1 else: customer = 0 wait += customer if wait > 4: board = 4 wait -= 4 else: board = wait wait = 0 shift += 1 profit += board * boardingCost - runningCost if profit > maxProfit: maxProfit = profit time = shift return time if maxProfit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: b=0 w=0 c=0 minp=0 minc=-1 for cust in customers: if cust<=4 and w==0: b+=cust elif cust<=4 and w!=0: w+=cust if w<=4: b+=w w=0 else: b+=4 w=w-4 elif cust>4: b+=4 w+=cust-4 c+=1 if (b*boardingCost)-(c*runningCost)>minp: minp=(b*boardingCost)-(c*runningCost) minc=c while w>0: if w>4: b+=4 w-=4 else: b+=w w=0 c+=1 if (b*boardingCost)-(c*runningCost)>minp: minp=(b*boardingCost)-(c*runningCost) minc=c return minc
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: res=-1 cnt=-1 wait=0 profit=0 i=0 while wait>0 or i<len(customers): if i<len(customers): wait+=customers[i] if wait>=4: wait-=4 profit+=4*boardingCost else: profit+=wait*boardingCost wait=0 profit-=runningCost i+=1 if profit>res: res=profit cnt=i return cnt
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: res = -1 if not customers: return -1 cnt = 1 if customers[0] > 4: remain = customers[0] - 4 p = 4 else: p = customers[0] remain = 0 profit = boardingCost * p - runningCost * cnt if profit > 0: res = cnt for num in customers[1:]: remain += num if remain > 4: remain -= 4 p += 4 else: p += remain remain = 0 cnt += 1 curr = boardingCost * p - runningCost * cnt if curr > profit: res = cnt profit = curr while remain > 0: if remain > 4: remain -= 4 p += 4 else: p += remain remain = 0 cnt += 1 curr = boardingCost * p - runningCost * cnt if curr > profit: res = cnt profit = curr return res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, A, BC, RC): ans=profit=t=0 maxprofit=0 wait=i=0 n=len(A) while wait or i<n: if i<n: wait+=A[i] i+=1 t+=1 y=wait if wait<4 else 4 wait-=y profit+=y*BC profit-=RC if profit>maxprofit: maxprofit=profit ans=t if maxprofit<=0: return -1 else: return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: q = 0 outs = [] boarded = 0 res = 0 rots = 0 m = 0 for incoming in customers: if q + incoming > 4: q += incoming - 4 boarded = 4 else: boarded = q + incoming q = 0 if len(outs) == 0: outs.append(boarded * boardingCost - runningCost) else: outs.append(outs[-1] + (boarded * boardingCost - runningCost)) rots += 1 if m < outs[-1]: m = outs[-1] res = rots while(q > 4): q -= 4 outs.append(outs[-1] + (boarded * boardingCost - runningCost)) rots += 1 if m < outs[-1]: m = outs[-1] res = rots outs.append(outs[-1] + (q * boardingCost - runningCost)) rots += 1 if m < outs[-1]: m = outs[-1] res = rots if m > 0: return res else: return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: arrive = 0 board = 0 wait2 = 0 total = 0 profit = 0 length = len(customers) maxprofit = 0 max_num = -1 num = 0 count = 0 for i in range(length): arrive = customers[i] wait2 += arrive num += 1 if wait2 >= 4: board = 4 wait2 = wait2 - 4 else: board = wait2 wait2 = 0 count += board profit = count * boardingCost - num * runningCost if profit > maxprofit: maxprofit = profit max_num = num while wait2 > 0: num += 1 if wait2 >= 4: board = 4 wait2 = wait2 - 4 else: board = wait2 wait2 = 0 count += board profit = count * boardingCost - num * runningCost if profit > maxprofit: maxprofit = profit max_num = num return max_num
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: cur = 0 ans = 0 for c in customers: cur += c if cur >= 4: cur -= 4 elif cur > 0: cur = 0 ans = len(customers)+cur//4 if cur%4*boardingCost > runningCost: ans += 1 if 4*boardingCost < runningCost: return -1 return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit = 0 waiting = 0 rotation = 0 max_profit = 0 ans = None for customer in customers: customer += waiting rotation += 1 # if customer>=4: # profit += 4*boardingCost - runningCost # waiting = customer-4 # else: # profit = customer*boardingCost - runningCost # waiting = 0 onboarding = min(4,customer) profit += onboarding*boardingCost - runningCost waiting = customer - onboarding if max_profit<profit: max_pprofit = profit ans = rotation if 4*boardingCost - runningCost>0: steps = waiting//4 profit += steps*(4*boardingCost - runningCost) waiting = waiting - steps*4 if waiting*boardingCost - runningCost>0: profit += waiting*boardingCost - runningCost steps += 1 if max_profit<profit: max_pprofit = profit ans = rotation + steps return ans if ans else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: p=-1 final=0 ans=0 s=0 count=0 for i in customers: s+=i if(s>4): ans+=4 s-=4 else: ans+=s s=0 count+=1 if(ans*boardingCost-count*runningCost)>final: p=count final=(ans*boardingCost-count*runningCost) while(s>0): if(s>4): ans+=4 s-=4 else: ans+=s s=0 count+=1 if(ans*boardingCost-count*runningCost)>final: p=count final=(ans*boardingCost-count*runningCost) return p
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: mx, ans = -1, -1 wait, income, cost = 0, 0, 0 for i in range(1, 51*100000): if i <= len(customers): wait += customers[i - 1] elif wait == 0: break if wait >= 4: onboard = 4 else: onboard = wait wait -= onboard income += onboard * boardingCost cost += runningCost curr = income - cost # print(onboard, income, cost, curr) if curr > mx: mx = curr ans = i return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: res = 0 q = 0 u = 0 profit = 0 rotation = 0 for c in customers: rotation += 1 if c > 4: q += c - 4 u += 4 else: if q > 0: diff = 4 - c if q >= diff: u += c + diff q -= diff else: u += c + q q = 0 else: u += c if profit < u * boardingCost - rotation * runningCost: profit = u * boardingCost - rotation * runningCost res = rotation while q > 0: rotation += 1 if q > 4: u += 4 q -= 4 else: u += q q = 0 if profit < u * boardingCost - rotation * runningCost: profit = u * boardingCost - rotation * runningCost res = rotation print(profit) return res if profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: x, y = -1, -1 c = 0 p = 0 for i, j in enumerate(customers): c += j d = min(c, 4) c -= d p += d * boardingCost - runningCost if p > x: x, y = p, i + 1 i = len(customers) while c: d = min(c, 4) c -= d p += d * boardingCost - runningCost i += 1 if p > x: x, y = p, i return y
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
from typing import List class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: cur = best = 0 best_idx = None waiting = 0 capacity = 4 for idx, nxt in enumerate(customers): # Add new waiting customers, put passengers on ride, remove passengers from waiting. waiting += nxt passengers = min(waiting, capacity) waiting -= passengers # Update money. cur += (passengers * boardingCost) - runningCost if cur > best: best_idx = idx + 1 best = cur while waiting: idx += 1 passengers = min(waiting, capacity) waiting -= passengers # Update money. cur += (passengers * boardingCost) - runningCost if cur > best: best_idx = idx + 1 best = cur if best_idx is None: best_idx = -1 return best_idx
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: cur_profit = remainder_customers = steps = res = 0 max_profit = -1 for customer in customers: remainder_customers += customer gettting_on = min(remainder_customers, 4) cur_profit += gettting_on* boardingCost - runningCost remainder_customers -= gettting_on steps += 1 if cur_profit > max_profit: max_profit = cur_profit res = steps while remainder_customers > 0: gettting_on = min(remainder_customers, 4) cur_profit += gettting_on* boardingCost - runningCost remainder_customers -= gettting_on steps += 1 if cur_profit > max_profit: max_profit = cur_profit res = steps return -1 if max_profit < 0 else res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: ans=-1 wait=0 profit=0 best=0 for i in range(len(customers)): wait+=customers[i] board=min(wait,4) profit+=board*boardingCost-runningCost wait-=board if profit>best: best=profit ans=i+1 i=len(customers) while wait: board=min(wait,4) profit+=board*boardingCost-runningCost wait-=board if profit>best: best=profit ans=i+1 i+=1 return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: curr, ans, waiting, profit = 0, 0, 0, 0 for turn, customers in enumerate(customers): waiting += customers boarding = 4 if 4 < waiting else waiting waiting -= boarding profit += (boardingCost * boarding) - runningCost if profit > curr: curr, ans = profit, turn+1 else: j = turn while waiting > 0: j += 1 boarding = min(4, waiting) waiting -= boarding profit += (boardingCost * boarding) - runningCost if profit > curr: curr, ans = profit, j + 1 return ans if profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: # res = [0] # wait = 0 # for i in customers: # board = 0 # wait += i # if wait > 4: # board = 4 # wait -= 4 # else: # board = wait # wait = 0 # board*boardingCost - runningCost # res.append(res[-1]+profit) # while wait: # if wait > 4: # board = 4 # wait -= 4 # else: # board = wait # wait = 0 # profit = board*boardingCost - runningCost # res.append(res[-1]+profit) # m = max(res) # if m <= 0: # return -1 # else: # return res.index(m) ans = t = waiting = 0 peak = 0 peak_at = -1 for i, x in enumerate(customers): waiting += x delta = min(4, waiting) profit = boardingCost * delta - runningCost ans += profit waiting -= delta if ans > peak: peak = ans peak_at = i + 1 t = len(customers) while waiting: delta = min(4, waiting) profit = boardingCost * delta - runningCost if profit > 0: ans += profit waiting -= delta t += 1 if ans > peak: peak = ans peak_at = t else: break return peak_at if peak_at > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profit=0 maxprofit=0 maxi=-1 wait=0 i=0 for customer in customers: i+=1 wait+=customer on=min(wait, 4) wait-=on profit+=on*boardingCost-runningCost if profit>maxprofit: maxprofit=profit maxi=i while wait: i+=1 on=min(wait, 4) wait-=on profit+=on*boardingCost-runningCost if profit>maxprofit: maxprofit=profit maxi=i return maxi
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: b=0 w=0 r=0 tc=0 ''' for i in customers: w+=i tc+=i #bd = min(4,w) #w-=bd if w//4 == 0: r+=1 else: r+= (w//4) print(r) if w<4: w-=w else: w-= (4*(w//4)) print(\" \",w) ''' i=0 n=len(customers) while True: if i==n: x=w//4 r+=x if w%4 !=0 and ((w%4)*boardingCost)>runningCost: r+=1 break w+=customers[i] tc+=customers[i] bd=min(4,w) w-=bd r+=1 i+=1 return r if (tc*boardingCost - runningCost*r)>0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: totalCustomers = sum(customers) rotation = totalCustomers//4 totalRotation = rotation if totalCustomers%4 == 0 else rotation + 1 totalRotation = max(totalRotation, len(customers)) totalRotationCost = totalRotation * runningCost earning = rotation * 4 * boardingCost remain = totalCustomers%4 if remain != 0: earning += (remain * boardingCost) profit = earning - totalRotationCost if profit <= 0: return -1 maxProfit = 0 currentCost = 0 remainingCustomer = sum(customers) highestRotation = 0 i = 0 total = 0 while total > 0 or i < len(customers): if i < len(customers): total += customers[i] prev = currentCost if total >= 4: currentCost += (4 * boardingCost - runningCost) total -= 4 else: currentCost += (total * boardingCost - runningCost) total = 0 if currentCost > maxProfit: maxProfit = currentCost highestRotation = i + 1 i += 1 print(maxProfit) print(profit) return highestRotation
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: # my solution ... 2112 ms ... 73 % ... 17.4 MB ... 98 % # time: O(n) # space: O(1) curr_profit, curr_rotate = 0, 0 best_profit, best_rotate = -1, 0 queue_count = 0 for customer in customers: queue_count += customer board_count = min(queue_count, 4) curr_profit += board_count * boardingCost - runningCost curr_rotate += 1 queue_count -= board_count if curr_profit > best_profit: best_profit, best_rotate = curr_profit, curr_rotate while queue_count > 0: board_count = min(queue_count, 4) curr_profit += board_count * boardingCost - runningCost curr_rotate += 1 queue_count -= board_count if curr_profit > best_profit: best_profit, best_rotate = curr_profit, curr_rotate return best_rotate if best_profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: cur_profit = 0 max_profit = -1 waiting_customers = 0 ans = -1 turn = 0 for customer in customers: turn += 1 waiting_customers += customer to_board = min(waiting_customers, 4) waiting_customers -= to_board cur_profit += (-runningCost + to_board*boardingCost) if cur_profit > max_profit: max_profit = cur_profit ans = turn # if there is remaining customer while waiting_customers > 0: turn += 1 to_board = min(waiting_customers, 4) waiting_customers -= to_board cur_profit += (-runningCost + to_board*boardingCost) if cur_profit > max_profit: max_profit = cur_profit ans = turn return ans if max_profit >= 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: cur_profit = remainder_customers = steps = res = 0 max_profit = -1 for customer in customers: remainder_customers += customer getting_on = min(remainder_customers, 4) cur_profit += getting_on * boardingCost - runningCost remainder_customers -= getting_on steps += 1 if cur_profit > max_profit: max_profit = cur_profit res = steps while remainder_customers > 0: getting_on = min(remainder_customers, 4) cur_profit += getting_on * boardingCost - runningCost remainder_customers -= getting_on steps += 1 if cur_profit > max_profit: max_profit = cur_profit res = steps return -1 if max_profit < 0 else res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: waiting,prev_boarding,boarding,profit=0,0,0,[] for i, elem in enumerate(customers): if elem>=4: waiting+=elem-4 boarding=4 elif elem<4: if not waiting: boarding=elem else: boarding=4 waiting-=(4-elem) prev_boarding+=boarding profit.append(prev_boarding*boardingCost-((i+1)*runningCost)) i=len(customers) while(waiting): if waiting>=4: boarding=4 waiting-=4 prev_boarding+=boarding i+=1 profit.append(prev_boarding*boardingCost-((i)*runningCost)) else: boarding=waiting waiting=0 prev_boarding+=boarding i+=1 profit.append(prev_boarding*boardingCost-((i)*runningCost)) return profit.index(max(profit))+1 if max(profit)>=0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: # my solution ... 2124 ms ... 72 % ... 17.4 MB ... 95 % # time: O(n) # space: O(1) curr_profit, curr_rotate = 0, 0 best_profit, best_rotate = -1, 0 queue_count = 0 for customer in customers: queue_count += customer board_count = min(queue_count, 4) curr_profit += board_count * boardingCost - runningCost curr_rotate += 1 queue_count -= board_count if curr_profit > best_profit: best_profit, best_rotate = curr_profit, curr_rotate while queue_count > 0: board_count = min(queue_count, 4) curr_profit += board_count * boardingCost - runningCost curr_rotate += 1 queue_count -= board_count if curr_profit > best_profit: best_profit, best_rotate = curr_profit, curr_rotate return best_rotate if best_profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: cur = 0 p = 0 ans = float('-inf') t = 0 ff = 0 for c in customers: cur += c cnt = min(cur, 4) cur -= cnt p += cnt * boardingCost p -= runningCost t += 1 if p > ans: ans = p ff = t while cur > 0: cnt = min(cur, 4) cur -= cnt p += cnt * boardingCost p -= runningCost t += 1 if p > ans: ans = p ff = t return -1 if ans <= 0 else ff
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: m=0 res=-1 leftover=0 profit=0 i=0 j=0 while leftover>0 or i<len(customers): if i<len(customers): leftover+= customers[i] i+=1 if leftover>=4: profit+=4*boardingCost leftover-=4 else: profit+=leftover*boardingCost leftover=0 profit-=runningCost if profit>m: res=j+1 m=profit j+=1 return res
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: # my solution ... # time: O(n) # space: O(1) curr_profit, curr_rotate = 0, 0 best_profit, best_rotate = -1, 0 queue_count = 0 for customer in customers: queue_count += customer board_count = min(queue_count, 4) curr_profit += board_count * boardingCost - runningCost curr_rotate += 1 queue_count -= board_count if curr_profit > best_profit: best_profit, best_rotate = curr_profit, curr_rotate while queue_count > 0: board_count = min(queue_count, 4) curr_profit += board_count * boardingCost - runningCost curr_rotate += 1 queue_count -= board_count if curr_profit > best_profit: best_profit, best_rotate = curr_profit, curr_rotate return best_rotate if best_profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: ans = -1 most = pnl = waiting = 0 for i, x in enumerate(customers): waiting += x # more people waiting in line waiting -= (chg := min(4, waiting)) # boarding pnl += chg * boardingCost - runningCost if most < pnl: ans, most = i+1, pnl q, r = divmod(waiting, 4) if 4*boardingCost > runningCost: ans += q if r*boardingCost > runningCost: ans += 1 return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: n=len(customers) dp=[] reserved=0 on_board=0 rotation=0 for i in range(n): if reserved!=0: if reserved>=4: on_board+=4 reserved += customers[i]-4 else: new_customers=4-reserved if customers[i]>=new_customers: on_board+=4 reserved=customers[i]-new_customers else: on_board+=reserved+customers[i] reserved=0 else: if customers[i]>=4: on_board+=4 reserved+=customers[i]-4 else: on_board+=customers[i] rotation+=1 dp.append(on_board*boardingCost - rotation*runningCost) for i in range(reserved//4 + 1): if reserved>=4: on_board+=4 reserved-=4 else: on_board+=reserved reserved=0 rotation+=1 dp.append(on_board*boardingCost - rotation*runningCost) maxi=max(dp) return dp.index(max(dp))+1 if maxi>=0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: queue = collections.deque() waiting = 0 profit = float('-inf') cur = 0 rounds = 1 members = 0 final_rounds = 0 for c in customers: waiting += c new = min(4, waiting) members += new waiting -= new cur = boardingCost * members - runningCost * rounds if cur > profit: profit = cur final_rounds = rounds rounds += 1 while waiting: new = min(4, waiting) members += new waiting -= new cur = boardingCost * members - runningCost * rounds if cur > profit: profit = cur final_rounds = rounds rounds += 1 return final_rounds if profit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: max_profit = float('-inf') queue = 0 idx = 0 min_idx = 0 profit = 0 itr = 0 while True: if idx < len(customers): queue += customers[idx] served = 0 if queue >= 4: queue-=4 served = 4 else: served = queue queue = 0 profit += boardingCost*served profit -= runningCost itr+=1 #print(f'profit={profit} itr={itr} served = {served} profit = {profit}') if profit > max_profit: max_profit = profit min_idx = itr idx += 1 if queue <=0 and idx>=len(customers): break if max_profit <= 0: return -1 else: return min_idx
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, cust: List[int], boardingC: int, runningC: int) -> int: maxp=curr=rem=ans=rot=0 i=0 l=len(cust) while i<l or rem: rot+=1 rem+=cust[i] if i<l else 0 if rem>=4: curr+=4 rem-=4 else: curr+=rem rem=0 prof=(curr*boardingC)-(runningC*rot) if prof>maxp: maxp=prof ans=rot i+=1 return ans if maxp>0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: profits = [] curr_profit = 0 ppl_waiting = 0 for i, ppl in enumerate(customers): ppl_waiting += ppl num_board = min(4, ppl_waiting) curr_profit += num_board * boardingCost - runningCost profits.append(curr_profit) ppl_waiting -= num_board while ppl_waiting: num_board = min(4, ppl_waiting) curr_profit += num_board * boardingCost - runningCost profits.append(curr_profit) ppl_waiting -= num_board #print(profits) max_prof = max(profits) if max_prof <= 0: return -1 return profits.index(max_prof) + 1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
from collections import deque class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: rotations = 0 maxprofit = -1 currprofit = 0 nr = 0 q = deque(customers) while q: currprofit -= runningCost nr += 1 c = q.popleft() if c > 4: if q: q[0] += c-4 else: q.append(c-4) c = 4 currprofit += c * boardingCost if currprofit > maxprofit: maxprofit = currprofit rotations = nr return rotations if maxprofit > 0 else -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: if not customers: return 0 profits = [0] waiting = 0 for customer in customers: waiting += customer serving = 0 if waiting > 4: serving = 4 waiting -=4 else: serving = waiting waiting =0 profits.append(profits[-1] + ((boardingCost*serving) - runningCost)) while waiting: serving = 0 if waiting > 4: serving = 4 waiting -=4 else: serving = waiting waiting =0 profits.append(profits[-1] + ((boardingCost*serving) - runningCost)) maxProfit = profits[1] maxProfitIndex = 1 for i, profit in enumerate(profits[1:]): if profit>maxProfit: maxProfit = profit maxProfitIndex = i+1 if maxProfit>0: return maxProfitIndex else: return -1
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: rotate = left = 0 ans = -1 profit = maxprofit = 0 for cnt in customers: cnt += left rotate += 1 left = max(0, cnt - 4) profit += boardingCost * min(4, cnt) - runningCost if profit > maxprofit: maxprofit = profit ans = rotate while left > 0: rotate += 1 profit += boardingCost * min(4, left) - runningCost if profit > maxprofit: maxprofit = profit ans = rotate left -= 4 return ans
You are the operator of a Centennial Wheel that has four gondolas, and each gondola has room for up to four people. You have the ability to rotate the gondolas counterclockwise, which costs you runningCost dollars. You are given an array customers of length n where customers[i] is the number of new customers arriving just before the ith rotation (0-indexed). This means you must rotate the wheel i times before the customers[i] customers arrive. You cannot make customers wait if there is room in the gondola. Each customer pays boardingCost dollars when they board on the gondola closest to the ground and will exit once that gondola reaches the ground again. You can stop the wheel at any time, including before serving all customers. If you decide to stop serving customers, all subsequent rotations are free in order to get all the customers down safely. Note that if there are currently more than four customers waiting at the wheel, only four will board the gondola, and the rest will wait for the next rotation. Return the minimum number of rotations you need to perform to maximize your profit. If there is no scenario where the profit is positive, return -1.   Example 1: Input: customers = [8,3], boardingCost = 5, runningCost = 6 Output: 3 Explanation: The numbers written on the gondolas are the number of people currently there. 1. 8 customers arrive, 4 board and 4 wait for the next gondola, the wheel rotates. Current profit is 4 * $5 - 1 * $6 = $14. 2. 3 customers arrive, the 4 waiting board the wheel and the other 3 wait, the wheel rotates. Current profit is 8 * $5 - 2 * $6 = $28. 3. The final 3 customers board the gondola, the wheel rotates. Current profit is 11 * $5 - 3 * $6 = $37. The highest profit was $37 after rotating the wheel 3 times. Example 2: Input: customers = [10,9,6], boardingCost = 6, runningCost = 4 Output: 7 Explanation: 1. 10 customers arrive, 4 board and 6 wait for the next gondola, the wheel rotates. Current profit is 4 * $6 - 1 * $4 = $20. 2. 9 customers arrive, 4 board and 11 wait (2 originally waiting, 9 newly waiting), the wheel rotates. Current profit is 8 * $6 - 2 * $4 = $40. 3. The final 6 customers arrive, 4 board and 13 wait, the wheel rotates. Current profit is 12 * $6 - 3 * $4 = $60. 4. 4 board and 9 wait, the wheel rotates. Current profit is 16 * $6 - 4 * $4 = $80. 5. 4 board and 5 wait, the wheel rotates. Current profit is 20 * $6 - 5 * $4 = $100. 6. 4 board and 1 waits, the wheel rotates. Current profit is 24 * $6 - 6 * $4 = $120. 7. 1 boards, the wheel rotates. Current profit is 25 * $6 - 7 * $4 = $122. The highest profit was $122 after rotating the wheel 7 times. Example 3: Input: customers = [3,4,0,5,1], boardingCost = 1, runningCost = 92 Output: -1 Explanation: 1. 3 customers arrive, 3 board and 0 wait, the wheel rotates. Current profit is 3 * $1 - 1 * $92 = -$89. 2. 4 customers arrive, 4 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 2 * $92 = -$177. 3. 0 customers arrive, 0 board and 0 wait, the wheel rotates. Current profit is 7 * $1 - 3 * $92 = -$269. 4. 5 customers arrive, 4 board and 1 waits, the wheel rotates. Current profit is 11 * $1 - 4 * $92 = -$357. 5. 1 customer arrives, 2 board and 0 wait, the wheel rotates. Current profit is 13 * $1 - 5 * $92 = -$447. The profit was never positive, so return -1. Example 4: Input: customers = [10,10,6,4,7], boardingCost = 3, runningCost = 8 Output: 9 Explanation: 1. 10 customers arrive, 4 board and 6 wait, the wheel rotates. Current profit is 4 * $3 - 1 * $8 = $4. 2. 10 customers arrive, 4 board and 12 wait, the wheel rotates. Current profit is 8 * $3 - 2 * $8 = $8. 3. 6 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 12 * $3 - 3 * $8 = $12. 4. 4 customers arrive, 4 board and 14 wait, the wheel rotates. Current profit is 16 * $3 - 4 * $8 = $16. 5. 7 customers arrive, 4 board and 17 wait, the wheel rotates. Current profit is 20 * $3 - 5 * $8 = $20. 6. 4 board and 13 wait, the wheel rotates. Current profit is 24 * $3 - 6 * $8 = $24. 7. 4 board and 9 wait, the wheel rotates. Current profit is 28 * $3 - 7 * $8 = $28. 8. 4 board and 5 wait, the wheel rotates. Current profit is 32 * $3 - 8 * $8 = $32. 9. 4 board and 1 waits, the wheel rotates. Current profit is 36 * $3 - 9 * $8 = $36. 10. 1 board and 0 wait, the wheel rotates. Current profit is 37 * $3 - 10 * $8 = $31. The highest profit was $36 after rotating the wheel 9 times.   Constraints: n == customers.length 1 <= n <= 105 0 <= customers[i] <= 50 1 <= boardingCost, runningCost <= 100
class Solution: def minOperationsMaxProfit(self, A, BC, RC): ans=profit=t=0 maxprofit=0 wait=i=0 n=len(A) while wait or i<n: if i<n: wait+=A[i] i+=1 t+=1 y=min(4,wait) wait-=y profit+=y*BC profit-=RC if profit>maxprofit: maxprofit=profit ans=t if maxprofit<=0: return -1 else: return ans