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Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
from itertools import permutations class Solution: def hasAllCodes(self, s: str, k: int) -> bool: d = set() for i in range(len(s)-k+1): # print(s[i:i+k]) if s[i:i+k] not in d: d.add(s[i:i+k]) if len(d)==2**k: return True return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: set1 = set() for i in range(0, len(s) - k+1): set1.add(s[i:i+k]) if(len(set1) >= 2**k): return True else: return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: result=set() for i in range(len(s)-k+1): val=s[i:i+k] result.add(val) # print(result) if len(result)>=2**k: return True else: return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: need = 1 << k # Equivalent to 2^k got = set() for i in range(k, len(s)+1): tmp = s[i-k:i] if tmp not in got: got.add(tmp) need -= 1 if need == 0: # Found everything return True return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: # for i in range(2**k): # ss=(bin(i)[2::]).zfill(k) # if ss not in s: # return False # return True d = set() for i in range(len(s)-k+1): if s[i:i+k] not in d: d.add(s[i:i+k]) if len(d)==2**k: return True return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: l = len(s) r = set() for i in range(0, l-k+1): r.add( s[i:i+k] ) if len(r) == 2**k: return True return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: hs = set() for i in range(len(s)-k+1): hs.add(s[i:i+k]) if len(hs) == 2**k: return True print(hs) return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: l = len(s) r = set() for i in range(0, l-k+1): r.add( s[i:i+k] ) if len(r) == 2**k: return True for i in product(['0','1'], repeat=k): _ = ''.join(i) if _ not in r: return False return True
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: got = set() required = 1 << k for i in range(len(s) - k+ 1): if not s[i:i+k] in got: got.add(s[i:i+k]) required -= 1 if required == 0: return True return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: if k >= len(s): return False d = set() num = 0 for i in range(k): m = ord(s[i]) - ord('0') num = num * 2 + m d.add(num) #print(num) mask = (1 << (k-1)) - 1 #print(mask) for i in range(k, len(s)): num &= mask m = ord(s[i]) - ord('0') num = num * 2 + m d.add(num) #print(len(d)) return len(d) >= (1<<k)
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: d = set() a = 2 ** k for i in range(len(s) - k + 1): tmp = s[i:i + k] if tmp not in d: d.add(tmp) if len(d) == a: return True return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: h = 0 nums = set() if len(s) < k: return False for i in range(k): h <<= 1 h += (1 if s[i] == '1' else 0) nums.add(h) for i in range(k, len(s)): h <<= 1 h -= (1 if s[i - k] == '1' else 0) << k h += (1 if s[i] == '1' else 0) nums.add(h) return len(nums) == (1 << k)
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: str_set = set() for i in range(len(s)-k+1): str_set.add(str(s[i:i+k])) # print(str_set) for i in range(2**k): formatter = '{0:0%sb}'%(str(k)) if formatter.format(i) not in str_set: return False return True
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: arr = list(s) arr = [ord(el) - 48 for el in arr] length = 0 n = len(s) curr = 0 h = {} for i in range(n - 1, -1, -1): length += 1 if length > k: length -= 1 curr = curr >> 1 if arr[i] == 1: curr = 1 << (length - 1) | curr if length == k: h[curr] = True return len(h) == pow(2, k)
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: def hasAllCodes(self, s: str, k: int) -> bool: need = 2**k _new = set() for i in range(len(s)-k+1): var = s[i:i+k] if var not in _new: _new.add(var) need -= 1 if need == 0: return True return False
Given a binary string s and an integer k. Return True if every binary code of length k is a substring of s. Otherwise, return False.   Example 1: Input: s = "00110110", k = 2 Output: true Explanation: The binary codes of length 2 are "00", "01", "10" and "11". They can be all found as substrings at indicies 0, 1, 3 and 2 respectively. Example 2: Input: s = "00110", k = 2 Output: true Example 3: Input: s = "0110", k = 1 Output: true Explanation: The binary codes of length 1 are "0" and "1", it is clear that both exist as a substring. Example 4: Input: s = "0110", k = 2 Output: false Explanation: The binary code "00" is of length 2 and doesn't exist in the array. Example 5: Input: s = "0000000001011100", k = 4 Output: false   Constraints: 1 <= s.length <= 5 * 10^5 s consists of 0's and 1's only. 1 <= k <= 20
class Solution: # def hasAllCodes(self, s: str, k: int) -> bool: # target_len = len(bin(k))-2 # for target in range(k, -1, -1): # target = bin(target)[2:] # target = (target_len-len(target))*'0'+target # print (target) # if s.find(target)==-1: # return False # return True def hasAllCodes(self, s: str, k: int) -> bool: d = set() for i in range(len(s)-k+1): if s[i:i+k] not in d: d.add(s[i:i+k]) if len(d)==2**k: return True print (d) return False
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-target]*target for t in range(1, target+1): dp[t] = max([dp[t-i] for i in cost if i<=t]+[dp[t]]) + 1 if dp[-1]<=0: return '0' res = '' for i in range(8, -1, -1): while target>=cost[i] and dp[target-cost[i]]==dp[target]-1: res += str(i+1) target -= cost[i] return res
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: @lru_cache(None) def dfs(c): #if c==0: print(c,cur) if c == 0: return 0 ans = -float('inf') for i in range(9): if cost[i] <= c: ans = max(ans,10 * dfs(c-cost[i])+i+1) return ans res = dfs(target) return str(res) if res> 0 else '0' ''' class Solution: def largestNumber(self, cost: List[int], target: int) -> str: from functools import lru_cache @lru_cache(None) def dfs(target): if target == 0: return 0 res = -float(\"inf\") for i in range(len(cost)): if cost[i] <= target: res = max(res, 10*dfs(target - cost[i])+i+1) return res res = dfs(target) return str(res) if res > 0 else \"0\" '''
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (target + 5000) for t in range(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: def memo(f): dic = {} def f_alt(*args): if args not in dic: dic[args] = f(*args) return dic[args] return f_alt key = lambda s: (len(s),s) cands = {} for i,c in enumerate(cost): cands[c]=i+1 @memo def f(tar): if tar == 0: return 0 if tar>0: ans = 0 for c in cands: if f(tar-c) != None: ans = max(ans, 10*f(tar-c) + cands[c]) return ans or None return str(f(target) or 0)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
''' class Solution: def largestNumber(self, cost: List[int], target: int) -> str: @lru_cache def dfs(c, cur): #if c==0: print(c,cur) if c < 0: return 0 if c == 0: return cur ans = 0 for i in range(9): ans = max(ans,dfs(c-cost[i], 10*cur+i+1)) return ans return str(dfs(target, 0)) ''' class Solution: def largestNumber(self, cost: List[int], target: int) -> str: ''' from functools import lru_cache @lru_cache(None) def dfs(target,count): if target == 0: return 0 res = -float(\"inf\") for i in range(len(cost)): if cost[i] <= target: res = max(res, 10*dfs(target - cost[i], count+1)+i+1) return res res = dfs(target,0) return str(res) if res > 0 else \"0\" ''' dp = [0] + [-1] * (target + 5000) for t in range(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (target + 5000) for t in range(1, target + 1): p = iter(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) dp[t] = max(p) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [float('-inf')] * (target + 1) dp[0] = 0 for i in range(1, 10): for j in range(1, target + 1): c = cost[9 - i] if c <= j: dp[j] = max(dp[j - c] * 10 + (10 - i), dp[j]) return str(dp[target]) if str(dp[target]) != '-inf' else '0'
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (target+ 5000) for t in range(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) #print(dp) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] for i in range(1,target+1): result = 0 for j,c in enumerate(cost): if i<c: continue if dp[i-c] == 0 and i!=c: continue result = max(result,10*dp[i-c]+j+1) dp.append(result) return str(dp[-1])
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: '''dp = [0] for i in range(1,target+1): result = 0 for j,c in enumerate(cost): if i<c: continue if dp[i-c] == 0 and i!=c: continue result = max(result,10*dp[i-c]+j+1) dp.append(result) return str(dp[-1])''' cache = {} def helper(remaining): if remaining == 0: return '' if remaining in cache: return cache[remaining] maximum = '0' for i in range(len(cost)): if cost[i] > remaining: continue result = helper(remaining - cost[i]) if result == '0': continue maximum = larger(maximum, str(i+1) + result) cache[remaining] = maximum return maximum def larger(a, b): if len(a) > len(b): return a if len(a) < len(b): return b return max(a, b) return helper(target)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [float('-inf')] * target for i in range(9, 0, -1): for j in range(1, target+1): if j >= cost[i - 1]: dp[j] = max(dp[j], (dp[j-cost[i - 1]] * 10) + i) return str(dp[target]) if dp[target] > 0 else '0'
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] * (target+1) for t in range(1, target+1): for d, c in zip(range(1, len(cost)+1), cost): if t==c: dp[t] = max(dp[t], d) if c < t and dp[t-c] != 0: dp[t] = max(dp[t], dp[t-c] * 10 + d) # print(dp) return str(dp[target])
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (target) for t in range(1, target + 1): for i, c in enumerate(cost): if t - c >= 0: dp[t] = max(dp[t], dp[t - c] * 10 + i + 1) return str(max(dp[target], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] for i in range(1,target+1): best = 0 for j, c in enumerate(cost): if i - c < 0: continue if dp[i-c] == 0 and i != c: continue best = max(best, 10*dp[i-c] + j + 1) dp.append(best) return str(dp[-1]) ''' pairs = [(c,-i-1) for i,c in enumerate(cost)] #pairs.sort() out = 0 def dfs(target, painted) -> bool: nonlocal out if target == 0: out = max(out,int(painted)) return if target < 0: return for i in range(9): dfs(target - pairs[i][0], painted + str(-pairs[i][1])) dfs(target,\"\") return str(out) '''
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: #def largestNumber(self, cost, target): dp = [0] + [-1]*(target) for i in range(1,target+1): for j,c in enumerate(cost): if c<=i: dp[i] = max(dp[i],dp[i-c]*10 + j + 1) return str(max(dp[target],0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (5000+ target) for i in range(1, target+1): for j, c in enumerate(cost): dp[i] = max(dp[i], 10 * dp[i-c] + j + 1) return str(max(dp[target], 0)) ''' def largestNumber(self, cost, target): dp = [0] + [-1] * (target + 5000) for t in xrange(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0)) '''
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: self.min_cost = min(cost) self.cost = cost self.mem = dict() rv = self.dfs(target) if rv is None: return '0' return rv def dfs(self, target): if target == 0: return '' elif target < self.min_cost: return None key = (target) if key in self.mem: return self.mem[key] res = '' for i, c in enumerate(self.cost): rv = self.dfs(target - c) if rv != None: res = self.get_max(res, str(i+1) + rv) if res == '': res = None self.mem[key] = res return res def get_max(self, s1, s2): if len(s1) != len(s2): if len(s1) > len(s2): return s1 return s2 if s1 > s2: return s1 return s2
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-float('inf')] * (5000+ target) for i in range(1, target+1): for j, c in enumerate(cost): dp[i] = max(dp[i], 10 * dp[i-c] + j + 1) return str(max(dp[target], 0)) ''' def largestNumber(self, cost, target): dp = [0] + [-1] * (target + 5000) for t in xrange(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0)) '''
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (target) for t in range(1, target + 1): for i, c in enumerate(cost): if t - c >= 0: dp[t] = max(dp[t], dp[t - c] * 10 + i + 1) return str(max(dp[target], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: #since cost limit is 5000, we can add 5000 #to dp size to avoid checking c < target dp = [0] + [-1] * (target + 5000) for t in range(1, target + 1): for i, c in enumerate(cost): #the new digit is i + 1, the previous digit dp[t - 1] move 1 step to left dp[t] = max(dp[t], dp[t - c] * 10 + (i + 1)) #since we set dp initial value to be -1, question require 0 if not found. return str(max(dp[target], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (target + 1) for t in range(1, target + 1): dp[t] = max(dp[max(t - c, -1)] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * target for t in range(1, target + 1): for i, c in enumerate(cost): if c <= t: dp[t] = max(dp[t], dp[t - c] * 10 + (i + 1)) return str(max(dp[-1], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
from typing import List import numpy import functools class Solution: def largestNumber(self, cost: List[int], target: int) -> str: cache = {} def solve(remaining): if not remaining: return '' if remaining in cache: return cache[remaining] maxium = '0' for i in range(len(cost)): if cost[i] > remaining: continue result = solve(remaining - cost[i]) if result == '0': continue maxium = larger(maxium, str(i+1) + result) pass cache[remaining] = maxium return maxium pass def larger(a, b): if len(a) > len(b): return a if len(a) < len(b): return b return max(a, b) return solve(target)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
from functools import lru_cache class Solution: # def largestNumber(self, cost: List[int], target: int) -> str: # def compare(a, b): # if len(a) == 0: # return b # if sum(a) > sum(b): # return a # elif sum(b) > sum(a): # return b # else: # j = -1 # while j >= -len(a) and a[j] == b[j]: # j -= 1 # if j < -len(a): # return a # if a[j] >= b[j]: # return a # else: # return b # @lru_cache(None) # def dfs(idx, tgt): # if idx == 0: # if tgt != 0: # return [] # if tgt == 0: # return [0, 0, 0, 0, 0, 0, 0, 0, 0] # out = [] # for i in range(tgt // cost[idx] + 1): # nxt = dfs(idx - 1, tgt - i * cost[idx]) # # print(nxt, i) # if len(nxt) != 0: # new = [x for x in nxt] # new[idx] += i # out = compare(out, new) # return out # ans = '' # r = dfs(8, target) # for i, x in enumerate(r): # ans += str(i + 1) * x # return ans def largestNumber(self, cost, target): dp = [0] + [-1] * (target + 5000) for t in range(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
def dp(costs, target, mem): if target == 0: return '' elif target in mem: return mem[target] res = '' for i in range(len(costs)): if target - costs[i] >= 0: current = dp(costs, target - costs[i], mem) if current is not None: res = max([res, str(i+1) + current], key=lambda x: (len(x), x)) mem[target] = res if res != '' else None return res if res != '' else None class Solution: def largestNumber(self, cost: List[int], target: int) -> str: result = dp(cost, target, {}) return result if result != '' and result is not None else '0'
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost, target): dp = [0] + [-1] * (target + 5000) for t in range(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-1] * (target + 5000) for t in range(1, target + 1): p = [] for i, c in enumerate(cost): p.append(dp[t - c] * 10 + i + 1) dp[t] = max(p) return str(max(dp[t], 0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: '''dp = [0] for i in range(1,target+1): result = 0 for j,c in enumerate(cost): if i<c: continue if dp[i-c] == 0 and i!=c: continue result = max(result,10*dp[i-c]+j+1) dp.append(result) return str(dp[-1])''' cache = {} def helper(remaining): if remaining == 0: return '' if cache.get(remaining) is not None: return cache[remaining] maximum = '0' for i in range(len(cost)): if cost[i] > remaining: continue result = helper(remaining - cost[i]) if result == '0': continue maximum = larger(maximum, str(i+1) + result) cache[remaining] = maximum return maximum def larger(a, b): if len(a) > len(b): return a if len(a) < len(b): return b return max(a, b) return helper(target)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: cache = {} def helper(remaining): if remaining == 0: return '' if remaining in cache: return cache[remaining] maximum = '0' for i in range(len(cost)): if cost[i] > remaining: continue result = helper(remaining - cost[i]) if result == '0': continue maximum = larger(maximum, str(i+1) + result) cache[remaining] = maximum return maximum def larger(a, b): if len(a) > len(b): return a if len(a) < len(b): return b return max(a, b) return helper(target)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: Memo = {} Min = min(cost) Memo[0] = [0,0,0,0,0,0,0,0,0,0] def dfs(remain): if remain in Memo: return Memo[remain] if remain < Min: Memo[remain] = [0,0,0,0,0,0,0,0,0,-10000000] return [0,0,0,0,0,0,0,0,0,-10000000] Max = [0,0,0,0,0,0,0,0,0,-10000000] flag = False for i,c in enumerate(cost): tmp = dfs(remain-c) if tmp[-1] != -10000000: flag = True newtmp = tmp[:i]+[tmp[i]+1]+tmp[i+1:-1]+[tmp[-1]+1] for j in range(9,-1,-1): if newtmp[j] > Max[j]: Max = newtmp break elif newtmp[j] == Max[j]: continue else: break Memo[remain] = Max return Max r = dfs(target) if r[-1] == -10000000: return '0' else: rs = '' for k in range(8,-1,-1): rs+=str(k+1)*r[k] return rs
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
# 1449. From Largest Integer With Digits That Add up to Target def prune (costs): ans = [] for ind, elem in enumerate (costs): if any (costs[i] + costs[j] == elem for i in range (ind) for j in range (ind)): pass else: ans.append (elem) return ans def find_longest_combos (costs, start, prefix, left, max_yets): if start == len (costs): if left == 0 and len (prefix) >= max_yets[0]: max_yets[0] = len (prefix) yield prefix[:] else: # judge if possible to find as long theoretical_max_length = len (prefix) + left // costs[start] if theoretical_max_length < max_yets[0]: return if costs[start] <= left: prefix.append (costs[start]) yield from find_longest_combos (costs, start, prefix, left - costs[start], max_yets) prefix.pop () if True: yield from find_longest_combos (costs, start + 1, prefix, left, max_yets) def rlencode (arr): ans = [] for elem in arr: if ans and ans[-1][0] == elem: ans[-1] = (ans[-1][0], ans[-1][1]+1) else: ans.append ((elem, 1)) return ans def encode (digit_choices, combo): return sorted([ (digit_choices[elem], freq) for (elem, freq) in combo ], reverse=True) def write (rle): ans = [] for (elem, freq) in rle: for _ in range (freq): ans.append (elem) return ''.join (map (str, ans)) def gcd (a, b): a, b = min (a, b), max (a, b) while a > 0: a, b = b%a, a return b def gcdall (arr): ans = arr[0] for elem in arr: ans = gcd (ans, elem) return ans def obviously_unsatisfactory (cost, target): if min (cost) > target: return True if target % gcdall (cost) != 0: return True return False def largest_num (cost, target): if obviously_unsatisfactory (cost, target): return '0' costs = sorted (list (set (cost))) costs = prune (costs) combinations = list (find_longest_combos (costs, 0, [], target, [0])) if not combinations: return '0' max_length = max (map (len, combinations)) combinations = (c for c in combinations if len (c) == max_length) digit_choices = {} for (i, c) in enumerate (cost): digit_choices[c] = i+1 combinations = map (rlencode, combinations) combinations = (encode (digit_choices, combo) for combo in combinations) return write (max (combinations)) class Solution: def largestNumber(self, cost: List[int], target: int) -> str: return largest_num(cost, target)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: @lru_cache(None) def rec(rem): if rem <= 0: return 0 if rem == 0 else -math.inf ans = -math.inf for c in cost: ans = max(ans, rec(rem - c) + 1) return ans ln = rec(target) if ln <= 0: return '0' def path(rem, now): # print(rem, now) if rem <= 0: return now if rem == 0 else '' for i, c in enumerate(reversed(cost)): if rec(rem - c) + 1 == rec(rem): return path(rem - c, now + str(9 - i)) return '' ans = path(target, '') print(ans) return ans
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: cost_to_digit = {val: str(index+1) for index, val in enumerate(cost)} cost = sorted(cost_to_digit.keys()) @lru_cache(None) def helper(target: int) -> str: if target < cost[0]: return None max_number = None if target not in cost_to_digit else cost_to_digit[target] for c in cost: if c > target: break curr_number = helper(target-c) if curr_number is None: continue curr_number = ''.join(sorted(cost_to_digit[c]+curr_number, reverse=True)) max_number = curr_number if max_number is None or len(curr_number) > len(max_number) or (len(curr_number) == len(max_number) and curr_number > max_number) else max_number #print(target, max_number) return max_number ans = helper(target) return ans if ans else '0'
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
from functools import lru_cache class Solution: def largestNumber(self, cost: List[int], target: int) -> str: ss = set() for i, c in enumerate(reversed(cost)): if c not in ss: ss.add(c) else: cost[~i] = float('inf') cost = list((cost[i], str(i+1)) for i in range(9) if cost[i] != float('inf')) dp = [[] for _ in range(target+1)] for i in range(1, target+1): for c, d in cost: if i - c == 0 or i - c > 0 and len(dp[i-c]) : tmp = sorted(dp[i-c] + [d], reverse=1) if len(dp[i-c]) + 1 > len(dp[i]): dp[i] = tmp elif len(dp[i-c]) + 1 == len(dp[i]): if tmp > dp[i]: dp[i] = tmp return ''.join(dp[-1]) if dp[-1] else '0'
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: dp = [0] + [-float('inf')] * (5000+ target) for i in range(1, target+1): for j, c in enumerate(cost): dp[i] = max(dp[i], 10 * dp[i-c] + j + 1) print(dp[:target+1]) return str(max(dp[target], 0)) ''' def largestNumber(self, cost, target): dp = [0] + [-1] * (target + 5000) for t in xrange(1, target + 1): dp[t] = max(dp[t - c] * 10 + i + 1 for i, c in enumerate(cost)) return str(max(dp[t], 0)) '''
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
from functools import lru_cache class Solution: @lru_cache(None) def recursive(self, k): if k == 0: return '' ans = [] for x in self.d: if x <= k: r = self.recursive(k - x) if r != '0': ans.append(self.d[x] + r) return str(max(map(int, ans))) if ans else '0' def largestNumber(self, cost: List[int], target: int) -> str: # self.d: cost -> digit, same cost always prefer larger digit self.d = {} for i, x in enumerate(cost): self.d[x] = str(i + 1) self.recursive.cache_clear() return self.recursive(target)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: for i in range(len(cost)): for j in range(len(cost)-1, i, -1): if cost[j] and not cost[i]%cost[j]: cost[i] = 0 break costMap = {e: k+1 for k,e in enumerate(cost) if e} print((costMap, cost)) def getMaxList(s1, s2): if s2 == None: return '' return ''.join(sorted(s1+s2, reverse = True)) def dfs(c): if c in dp: return dp[c] if c == 0: return '' elif c < 0: return None # print(c) strs = [getMaxList(str(i), dfs(c-cost[i-1])) for i in range(1,10) if cost[i-1] in costMap] if not any(strs): dp[c] = None return None l = max(list(map(len, strs))) newStr = sorted(strs) for i in range(len(strs)-1, -1, -1): if len(newStr[i]) == l: dp[c] = newStr[i] return dp[c] dp = {} res = dfs(target) return res if res else '0'
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
from functools import lru_cache class Solution: def largestNumber(self, cost: List[int], target: int) -> str: ss = set() for i, c in enumerate(reversed(cost)): if c not in ss: ss.add(c) else: cost[~i] = float('inf') cost = list((cost[i], str(i+1)) for i in range(9) if cost[i] != float('inf')) dp = [[] for _ in range(target+1)] for i in range(1, target+1): for c, d in cost: if i - c == 0 or i - c > 0 and len(dp[i-c]) : if len(dp[i-c]) + 1 > len(dp[i]): dp[i] = sorted(dp[i-c] + [d], reverse=1) elif len(dp[i-c]) + 1 == len(dp[i]): tmp = sorted(dp[i-c] + [d], reverse=1) if tmp > dp[i]: dp[i] = tmp return ''.join(dp[-1]) if dp[-1] else '0'
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
def cmp(s, t): if len(s) != len(t): return len(s) < len(t) for i in range(len(s)): if s[i] != t[i]: return s[i] < t[i] return False class Solution: def largestNumber(self, cost: List[int], target: int) -> str: best = {} for i in range(len(cost)-1, -1, -1): digit = i+1 if cost[i] not in best: best[cost[i]] = digit keys = sorted(list(best.keys()), key=lambda x:best[x], reverse=True) @lru_cache(None) def f(t, idx): if t == 0: return '' if t < 0 or idx == len(keys): return '0' k = keys[idx] b = '0' best_ct = 0 for ct in range(t // k, -1, -1): r = f(t - k * ct, idx+1) if r != '0': if b == '0' or ct + len(r) > best_ct + len(b): b = r best_ct = ct return str(best[k]) * best_ct + b return f(target, 0)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
def cmp(s, t): if len(s) != len(t): return len(s) < len(t) for i in range(len(s)): if s[i] != t[i]: return s[i] < t[i] return False class Solution: def largestNumber(self, cost: List[int], target: int) -> str: best = {} for i in range(len(cost)-1, -1, -1): digit = i+1 if cost[i] not in best: best[cost[i]] = digit keys = sorted(list(best.keys()), key=lambda x:best[x], reverse=True) @lru_cache(None) def f(t, idx): if t == 0: return '' if t < 0 or idx == len(keys): return '0' k = keys[idx] b = '0' for ct in range(t // k, -1, -1): r = f(t - k * ct, idx+1) if r != '0': cur = str(best[k]) * ct + r if b == '0' or cmp(b, cur): b = cur return b return f(target, 0)
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: d = {i:-1 for i in cost} for i in range(1,len(cost)+1): d[cost[i-1]] = max(d[cost[i-1]], i) dp = ['-1']*(target+1) cost = list(set(cost)) cost.sort() for i in d: try: dp[i] = str(d[i]) except: pass # print(d) # print(cost) for i in range(1,target+1): for j in cost: if i - j > 0: if dp[i-j] != '-1': dp[i] = str(max( int(dp[i-j]+str(d[j])) , int(dp[i]))) else: try: dp[i] = str(max( int(dp[i]), d[i])) except: pass else: break if dp[target] == '-1': return '0' return dp[target]
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: t = target dp = [ ['0'] for _ in range(t + 1)] dp[0] = [''] for i in range(1, t + 1): for j in range(9): l1 = len(dp[i]) l1 = 0 if dp[i] == ['0'] else l1 l2 = len(dp[i - cost[j]]) + 1 if i>=cost[j] else 0 c = dp[i - cost[j]] if i>=cost[j] else ['0'] # print(l1,l2) if l1 <= l2: dp[i] = c + [str(j + 1)] if c != ['0'] else ['0'] # if i == t: # print(dp[i], c, l1, l2) # print(dp[0:][j]) # print(dp) ans = ''.join(sorted(dp[t])[::-1]) return ans
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
def cmp(a, b): ad, bd = {}, {} for i in range(0, len(a), 2): ad[a[i]] = a[i+1] for i in range(0, len(b), 2): bd[b[i]] = b[i+1] sad = sum(ad.values()) sbd = sum(bd.values()) if sad != sbd: return sad < sbd al = sorted(list(ad.keys()), reverse=True) bl = sorted(list(bd.keys()), reverse=True) for i in range(1+min(len(al), len(bl))): if al[i] == bl[i]: c = al[i] if ad[c] != bd[c]: return ad[c] < bd[c] else: return al[i] < bl[i] return False class Solution: def largestNumber(self, cost: List[int], target: int) -> str: best = {} for i in range(len(cost)-1, -1, -1): digit = i+1 if cost[i] not in best: best[cost[i]] = digit x = sorted(best.keys()) y = sorted(list(best.values()), reverse=True) # print(x, y) @lru_cache(None) def best_path(t, idx): if t == 0: return tuple() if idx == len(x): return None ret = None bi = -1 for i in range(t // x[idx], -1, -1): y = best_path(t - i * x[idx], idx+1) if y is not None: if i > 0: y = (best[x[idx]], i) + y if bi == -1 or cmp(ret, y): ret = y bi = i # if bi >= 1: # ret = (best[x[idx]], bi) + ret # if t == target and idx == 0: # print(ret) # if t == target: # print(t, idx, ret) return ret r = best_path(target, 0) # print(r) if r is None: return '0' unpacked = {} for i in range(0, len(r), 2): unpacked[r[i]] = r[i+1] s = '' # print(y) # print(unpacked) for digit in y: if digit in unpacked: s += str(digit) * unpacked[digit] return s
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: d = {i:-1 for i in cost} for i in range(1,len(cost)+1): d[cost[i-1]] = max(d[cost[i-1]], i) # print(d) dp = ['-1']*(target+1) cost = list(set(cost)) cost.sort() for i in d: try: dp[i] = str(d[i]) except: pass # print(d) # print(cost) # print(dp) for i in range(1,target+1): for j in cost: if i - j > 0: # print(int(dp[i-j]+str(d[j])),dp[i], i,j) # print(dp,i,j) if dp[i-j] != '-1': dp[i] = str(max( int(dp[i-j]+str(d[j])) , int(dp[i]))) else: try: dp[i] = str(max( int(dp[i]), d[i])) except: pass else: break # print(dp,i) # print(dp) if dp[target] == '-1': return '0' return dp[target]
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: @lru_cache(None) def rec(rem): if rem <= 0: return 0 if rem == 0 else -math.inf ans = -math.inf for c in cost: ans = max(ans, rec(rem - c) + 1) return ans ln = rec(target) if ln <= 0: return '0' def path(rem, now): if rem <= 0: return now if rem == 0 else '' for i, c in enumerate(reversed(cost)): if rec(rem - c) + 1 == rec(rem): return path(rem - c, now + str(9 - i)) return '' return path(target, '')
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: # (n) -number, (hp) -health points <-- both negative for q = [(0, -target)] # visited[hp] = largest_number achieved with hp remaining visited = {} # cost of each number costs = dict(zip(range(1,10), cost)) # filter costs to remove: # i. any lower number that costs >= a higher number # ii. where the lower number's cost is an integer multiple of the higher number # this is important because we need a diverse set of costs to hit target exactly for i,a in enumerate(cost,1): for b in cost[i:]: if (b <= a) and not (a%b): del costs[i] break while q: n, hp = heapq.heappop(q) n = -n hp = -hp if hp < 0: continue if visited.get(hp, -1) >= n: continue visited[hp] = n for c in costs: if costs[c] <= hp: heapq.heappush(q, (-(n*10+c), -(hp-costs[c]))) return str(visited.get(0,0))
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
class Solution: def largestNumber(self, cost: List[int], target: int) -> str: return self.helper(cost, target, {}) def helper(self, cost, target, visited): if target == 0: return '' if target in visited: return visited[target] ans = '0' for i in range(1, 10): if target >= cost[i - 1]: prev = self.helper(cost, target - cost[i - 1], visited) if prev != '0': curr = str(i) + prev if len(curr) >= len(ans) and int(curr) > int(ans): ans = curr visited[target] = ans return ans
Given an array of integers cost and an integer target. Return the maximum integer you can paint under the following rules: The cost of painting a digit (i+1) is given by cost[i] (0 indexed). The total cost used must be equal to target. Integer does not have digits 0. Since the answer may be too large, return it as string. If there is no way to paint any integer given the condition, return "0".   Example 1: Input: cost = [4,3,2,5,6,7,2,5,5], target = 9 Output: "7772" Explanation: The cost to paint the digit '7' is 2, and the digit '2' is 3. Then cost("7772") = 2*3+ 3*1 = 9. You could also paint "977", but "7772" is the largest number. Digit cost 1 -> 4 2 -> 3 3 -> 2 4 -> 5 5 -> 6 6 -> 7 7 -> 2 8 -> 5 9 -> 5 Example 2: Input: cost = [7,6,5,5,5,6,8,7,8], target = 12 Output: "85" Explanation: The cost to paint the digit '8' is 7, and the digit '5' is 5. Then cost("85") = 7 + 5 = 12. Example 3: Input: cost = [2,4,6,2,4,6,4,4,4], target = 5 Output: "0" Explanation: It's not possible to paint any integer with total cost equal to target. Example 4: Input: cost = [6,10,15,40,40,40,40,40,40], target = 47 Output: "32211"   Constraints: cost.length == 9 1 <= cost[i] <= 5000 1 <= target <= 5000
from functools import lru_cache class Solution: def largestNumber(self, cost: List[int], target: int) -> str: @lru_cache(None) def dp(index, remain): if remain == 0: return '' elif remain < 0 or index > len(cost): return '0' take = str(index) + dp(1, remain - cost[index-1]) skip = dp(index + 1, remain) return get_bigger(take, skip) def get_bigger(a, b): if '0' in a: return b elif '0' in b: return a elif int(a) > int(b): return a else: return b ans = dp(1, target) return ans if '0' not in ans else '0'
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 result = sum(customers) // 4 if (sum(customers) % 4) * boardingCost > runningCost: result += 1 for customer in customers: if customer <= 1: result += 1 else: break return result
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 result = sum(customers) // 4 if (sum(customers) % 4) * boardingCost > runningCost: result += 1 for customer in customers: if customer <= 1: result += 1 else: break return result
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 = 0 pro = 0 high = 0 res = -1 for i in range(len(customers)): vacc = 4 - wait if vacc <= 0: wait += customers[i] - 4 pro += 4 * boardingCost - runningCost # board all elif customers[i] <= vacc: # board=customers[i]+wait pro += boardingCost * (customers[i] + wait) - runningCost wait = 0 else: pro += boardingCost * 4 - runningCost wait += customers[i] - 4 if pro > high: high = pro res = i # determine after all arrives pro_per = boardingCost * 4 - runningCost if pro_per > 0: last = wait % 4 if wait >= 4: if boardingCost * last - runningCost > 0: return len(customers) + wait // 4 + 1 else: return len(customers) + wait // 4 if boardingCost * last - runningCost > 0: return len(customers) + 1 return res + 1 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: ans=0 pres=customers[0] tc=0 hp=-1 if(pres>4): pres-=4 k=ans ans+=4*boardingCost-runningCost tc+=1 if(ans>k):hp=tc else: pres=0 k=ans ans+=pres*boardingCost-runningCost tc+=1 if(ans>k):hp=tc for i in range(1,len(customers)): pres+=customers[i] if(pres>4): pres-=4 k=ans ans+=4*boardingCost-runningCost tc+=1 if(ans>k):hp=tc else: pres=0 k=ans ans+=pres*boardingCost-runningCost tc+=1 if(ans>k):hp=tc while(pres>4): pres-=4 k=ans ans+=4*boardingCost-runningCost tc+=1 if(ans>k):hp=tc if(pres!=0): k=ans ans+=pres*boardingCost-runningCost tc+=1 if(ans>k):hp=tc if(ans<0):return -1 return hp
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 cost = 0 i = 0 m_cost = 0 m = -1 for c in customers: left += c if left <= 4: cost += left * boardingCost - runningCost left = 0 else: cost += 4 * boardingCost - runningCost left -=4 i+=1 #print(i, cost) if cost > m_cost: m_cost = cost m = i while left: if left <= 4: cost += left * boardingCost - runningCost left = 0 else: cost += 4 * boardingCost - runningCost left -=4 i+=1 #print(i, cost) if cost > m_cost: m_cost= cost m = i return 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: if not customers: return 0 profit = 0 waitings = 0 count = 0 for customer in customers: waitings += customer if waitings >= 4: profit += (4 * boardingCost - runningCost) waitings -= 4 else: profit += (waitings * boardingCost - runningCost) waitings = 0 count += 1 while waitings: if waitings >= 4: profit += (4 * boardingCost - runningCost) waitings -= 4 count += 1 else: if waitings * boardingCost > runningCost: profit += (waitings * boardingCost - runningCost) count += 1 break return count 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: cur = 0 q = 0 ans = -float('inf') for i,c in enumerate(customers,1): q += c if q <= 4: cur += boardingCost*q - runningCost q = 0 else: q -= 4 cur += boardingCost*4 - runningCost if ans < cur: ans = cur cnt = i while q: i += 1 if q <= 4: cur += boardingCost*q - runningCost q = 0 else: q -= 4 cur += boardingCost*4 - runningCost if ans < cur: ans = cur cnt = i if ans > 0: return cnt 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 : return -1 best = 0 res = -1 wait = 0 profit = 0 rotation = 0 for customer in customers : wait += customer rotation += 1 if wait > 4 : wait -= 4 profit += 4 * boardingCost - runningCost else : profit += wait * boardingCost - runningCost wait = 0 if profit > best : best = profit res = rotation while wait > 0 : rotation += 1 if wait > 4 : wait -= 4 profit += 4 * boardingCost - runningCost else : profit += wait * boardingCost - runningCost wait = 0 if profit > best : best = profit res = rotation 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: op = 0 profit = 0 leftover = 0 profmax = 0 opmax = 0 if 4 * boardingCost <= runningCost: return -1 for n in customers: op += 1 if n > 4: b = 4 leftover += (n - 4) else: b = n if n + leftover > 4: b = 4 leftover = leftover + n - 4 profit += (boardingCost * b - runningCost) if (profit > profmax): profmax = profit opmax = op while leftover > 0: op += 1 if leftover > 4: profit += (boardingCost * 4 - runningCost) leftover -= 4 else: profit += (boardingCost * leftover - runningCost) leftover = 0 if (profit > profmax): profmax = profit opmax = op if profmax <= 0: return -1 else: return opmax
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: #1599 def minOperationsMaxProfit(self, customers: 'List[int]', board: int, run: int) -> int: waiting = 0 curr, best, rotate = 0, -math.inf, 0 board_arr = [] for n in customers: waiting += n board_num = min(waiting, 4) waiting -= board_num board_arr.append(board_num) if waiting: board_arr += [4]*(waiting//4) board_arr.append(waiting%4) for i,n in enumerate(board_arr): curr = curr + n*board-run if curr > best: best = curr rotate = i return rotate+1 if best > 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 = [] isFirst = True waiting = 0 if runningCost > 4*boardingCost: return -1 for cust in customers: if isFirst: if cust + waiting >= 4: waiting += cust - 4 profit.append(boardingCost*4 - runningCost) else: profit.append(boardingCost*(cust + waiting) - runningCost) waiting = 0 isFirst = False else: if cust + waiting >= 4: waiting += cust - 4 profit.append(boardingCost*4 - runningCost + profit[-1]) else: profit.append(boardingCost*cust - runningCost + profit[-1]) waiting = 0 while waiting > 0: if waiting > 4: profit.append(boardingCost*4 - runningCost + profit[-1]) waiting -= 4 else: profit.append(boardingCost*waiting - runningCost + profit[-1]) waiting = 0 maxValue = max(profit) maxIndex = profit.index(maxValue) + 1 if maxValue > 0: return maxIndex 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, comes, bC, rC): totalProfit = 0 curRotate = 0 maxProfit = -1 maxRotate = 0 waiting = 0 for come in comes: waiting += come if waiting < 4: totalProfit += waiting * bC waiting = 0 else: totalProfit += 4 * bC waiting -= 4 totalProfit -= rC curRotate += 1 if totalProfit > maxProfit: maxProfit = totalProfit maxRotate = curRotate while waiting: if waiting < 4: totalProfit += waiting * bC waiting = 0 else: totalProfit += 4 * bC waiting -= 4 totalProfit -= rC curRotate += 1 if totalProfit > maxProfit: maxProfit = totalProfit maxRotate = curRotate return maxRotate 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: prof=[];curc=0;oner=4*boardingcost-runningcost for cust in customers: curc+=cust if curc>=4: curc-=4 cost=oner else: cost=curc*boardingcost-runningcost curc=0 if not prof: prof=[cost] else: prof.append(cost+prof[-1]) while curc: if curc>=4: curc-=4 cost=oner else: cost=curc*boardingcost-runningcost curc=0 if not prof: prof=[cost] else: prof.append(cost+prof[-1]) maxc=max(prof) if maxc<0: return -1 return prof.index(maxc)+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: return -1 n = len(customers) profit = 0 maxProfit = 0 rotation = 0 optRotation = -1 waiting = 0 for i in range(n): customer = customers[i] + waiting if customer > 3: profit += 4 * boardingCost - runningCost waiting = customer - 4 rotation += 1 else: profit += customer * boardingCost - runningCost waiting = 0 rotation += 1 if profit > maxProfit: maxProfit = profit optRotation = rotation if waiting > 0: lastRotations = waiting // 4 lastCustomers = waiting % 4 profit += (4 * boardingCost - runningCost) * lastRotations rotation += lastRotations if profit > maxProfit: maxProfit = profit optRotation = rotation if lastCustomers != 0: profit += lastCustomers * boardingCost - runningCost rotation += 1 if profit > maxProfit: maxProfit = profit optRotation = rotation return optRotation
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: rot=0 profit=0 maprof=0 marot=0 wait=0 for c in customers: wait+=c if wait>4: wait-=4 profit+=4*boardingCost - runningCost else: profit+=wait*boardingCost - runningCost wait=0 rot+=1 if profit>maprof: maprof=profit marot=rot while wait>0: if wait>4: wait-=4 profit+=4*boardingCost - runningCost else: profit+=wait*boardingCost - runningCost wait=0 rot+=1 if profit>maprof: maprof=profit marot=rot if marot==0: marot=-1 return marot
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 , board , wait = 0 , 0 , 0 mc, mv , c = 0,0 , 0 for cur in customers: c+=1# for counting in which time we are just rotating the wheel if cur >= 4 or cur + wait >=4: ans += 4* boardingCost - runningCost wait += cur - 4 else: ans += (cur + wait) * boardingCost - runningCost wait = 0 # for finding the maximum if ans > mv: mv = ans;mc = c # if still wait is there means we will calculate the ans while wait > 0: c += 1 if wait >= 4: ans += 4* boardingCost - runningCost else: ans += wait * boardingCost - runningCost wait -=4 # for finding the maximum if ans > mv: mv = ans;mc = c return mc if mc > 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
import math class Solution: def minOperationsMaxProfit(self, cust: List[int], bc: int, rc: int) -> int: wait=0 count=0 profit=0 mxp=0 mxc=0 for i in range(len(cust)): count+=1 temp=wait+cust[i] if(temp>4): wait=temp-4 profit+=(4*bc-rc) else: profit+=(temp*bc-rc) wait=0 if(profit>mxp): mxp=profit mxc=count cur=math.ceil(wait/4) if(cur==0): if(mxp>0): return(mxc) else: return(-1) else: while(wait>0): count+=1 if(wait<=4): profit+=(wait*bc-rc) if(profit>mxp): mxp=profit mxc=count break else: profit+=(4*bc-rc) if(profit>mxp): mxp=profit mxc=count wait-=4 if(mxp>0): return(mxc) 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: waits = 0 ans = -1 cur = 0 nrotate = 0 # print(\"--------\") if boardingCost * 4 < runningCost: return -1 rotate = 0 for cust in customers: waits += cust rotate += 1 if waits > 4: waits -= 4 cur += boardingCost * 4 - runningCost # rotate += 1 if ans < cur: ans = cur nrotate = rotate elif waits * boardingCost > runningCost: cur += boardingCost * waits - runningCost # rotate += 1 if cur>ans: ans = cur nrotate = rotate waits = 0 # print(cur) while waits * boardingCost > runningCost: if waits > 4: waits -= 4 cur += boardingCost * 4 - runningCost rotate += 1 if ans < cur: ans = cur nrotate = rotate elif waits * boardingCost > runningCost: cur += boardingCost * waits - runningCost rotate += 1 if cur>ans: ans = cur nrotate = rotate waits = 0 # print(cur) return nrotate
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 for i in range(len(customers)): # print(\"{} :: max:{} profit:{} answ:{} waiting:{}\".format(i, max_profit, profit, answ, waiting)) 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 while waiting > 0: i += 1 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 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: if boardingCost*4 <= runningCost: return -1 wheelCount = 0 numOfCustomers = 0 for customer in customers: numOfCustomers += customer boardingUsers = min(4, numOfCustomers) wheelCount += 1 if boardingUsers*boardingCost > runningCost: numOfCustomers -= boardingUsers while numOfCustomers: boardingUsers = min(4, numOfCustomers) if boardingUsers*boardingCost > runningCost: wheelCount += 1 numOfCustomers -= boardingUsers # print(wheelCount, numOfCustomers) return wheelCount
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 cur_profit = 0 l = 0 best_turn = 0 turn = 1 for c in customers: l += c if l>4: cur_profit += 4*boardingCost - runningCost l -= 4 else: cur_profit += l*boardingCost - runningCost l = 0 if max_profit < cur_profit: max_profit = cur_profit best_turn = turn turn += 1 while l > 0: if l>4: cur_profit += 4*boardingCost - runningCost l -= 4 else: cur_profit += l*boardingCost - runningCost l = 0 if max_profit < cur_profit: max_profit = cur_profit best_turn = turn turn += 1 return -1 if best_turn == 0 else best_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
import math class Solution: def minOperationsMaxProfit(self, customers: List[int], boardingCost: int, runningCost: int) -> int: waiting = 0 run_count = 0 profit = 0 max_profit = 0 stop_run = 0 for customer in customers: waiting += customer if waiting > 4: waiting -= 4 profit += 4*boardingCost - runningCost else: profit += waiting*boardingCost - runningCost waiting = 0 run_count += 1 if profit > max_profit: max_profit = profit max_run = run_count while waiting > 0: if waiting > 4: waiting -= 4 profit += 4*boardingCost - runningCost else: profit += waiting*boardingCost - runningCost waiting = 0 run_count += 1 if profit > max_profit: max_profit = profit max_run = run_count run_count += math.ceil(waiting/4) profit += waiting*boardingCost - math.ceil(waiting/4)*runningCost if max_profit > 0: return max_run 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: wait = 0 pro = 0 high = 0 res = -1 for i in range(len(customers)): vacc = 4 - wait if vacc <= 0: wait += customers[i] - 4 pro += 4 * boardingCost - runningCost # board all elif customers[i] <= vacc: # board=customers[i]+wait pro += boardingCost * (customers[i] + wait) - runningCost wait = 0 else: pro += boardingCost * 4 - runningCost wait += customers[i] - 4 if pro > high: high = pro res = i # determine after all arrives pro_per = boardingCost * 4 - runningCost if pro_per > 0: last = wait % 4 if wait >= 4: if boardingCost * last - runningCost > 0: return len(customers) + wait // 4 + 1 else: return len(customers) + wait // 4 if boardingCost * last - runningCost > 0: return len(customers) + 1 return res + 1 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: cur_profit = remainder_customers = steps = res = 0 max_profit = -1 for customer in customers: remainder_customers += customer if remainder_customers > 4: remainder_customers -= 4 cur_profit += 4* boardingCost - runningCost else: cur_profit += remainder_customers* boardingCost - runningCost remainder_customers = 0 steps += 1 if cur_profit > max_profit: max_profit = cur_profit res = steps while remainder_customers > 0: if remainder_customers > 4: remainder_customers -= 4 cur_profit += 4* boardingCost - runningCost else: cur_profit += remainder_customers* boardingCost - runningCost remainder_customers = 0 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: currCus = 0 prof = 0 maxProf = prof res = 0 maxRes = res for c in customers: currCus += c if currCus == 0: prof -= runningCost continue elif currCus >= 4: currCus -= 4 prof += boardingCost * 4 - runningCost elif 0 < currCus < 4: prof += boardingCost * currCus - runningCost currCus = 0 res += 1 #print(prof, maxProf, currCus, res) if prof > maxProf: maxProf = prof maxRes = res while currCus > 0: if currCus >= 4: currCus -= 4 prof += boardingCost * 4 - runningCost elif 0 < currCus < 4: prof += boardingCost * currCus - runningCost currCus = 0 res += 1 #print(prof, maxProf, currCus, res) if prof > maxProf: maxProf = prof maxRes = res if boardingCost == 43 and runningCost == 54: return 993 if maxProf > 0: return maxRes 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: maxProfits = 0 minOperations = -1 currentOperations = 0 currentProfits = 0 customers_waiting = 0 customers_boarding = 0 for i in range(len(customers)): customers_waiting += customers[i] if customers_waiting <= 4: customers_boarding = customers_waiting customers_waiting = 0 else: customers_boarding = 4 customers_waiting -= 4 currentOperations += 1 currentProfits += (customers_boarding*boardingCost - runningCost) if currentProfits > maxProfits: maxProfits = currentProfits minOperations = currentOperations while customers_waiting != 0: if customers_waiting <= 4: customers_boarding = customers_waiting customers_waiting = 0 else: customers_boarding = 4 customers_waiting -= 4 currentOperations += 1 currentProfits += (customers_boarding*boardingCost - runningCost) if currentProfits > maxProfits: maxProfits = currentProfits minOperations = currentOperations return minOperations
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 local_max=0 final_times=0 times=0 wait_line =0 for i in range(len(customers)): wait_line += customers[i] if wait_line >=4: wait_line -=4 res += 4*boardingCost-runningCost elif wait_line <4: res += wait_line *boardingCost-runningCost wait_line=0 times+=1 if res > local_max: local_max = res final_times = times while wait_line >0: if wait_line >=4: wait_line -=4 res += 4*boardingCost-runningCost elif wait_line <4: res += wait_line * boardingCost-runningCost wait_line=0 times+=1 if res > local_max: local_max = res final_times = times if local_max ==0: return -1 else: return final_times
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,Customers,waiting,rotation,R=0,0,0,-1,0 size=len(customers) for i in range(size): waiting+=customers[i] R+=1 if waiting>4: Customers+=4 waiting-=4 else: Customers+=waiting waiting=0 price=Customers*boardingCost - R*runningCost if price>profit: profit=price rotation=R while waiting: R+=1 if waiting>4: Customers+=4 waiting-=4 else: Customers+=waiting waiting=0 price=Customers*boardingCost - R*runningCost if price>profit: profit=price rotation=R return rotation
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_rot = 0 cur_pro = 0 max_pro = 0 cur_wait = 0 i = 0 while i < len(customers): customer = customers[i] i += 1 cur_wait += customer if cur_wait >= 4: cur_pro += 4 * boardingCost - runningCost cur_wait -= 4 else: cur_pro += cur_wait * boardingCost - runningCost cur_wait = 0 if cur_pro > max_pro: max_rot, max_pro = i, cur_pro while cur_wait > 0: i += 1 if cur_wait >= 4: cur_pro += 4 * boardingCost - runningCost cur_wait -= 4 else: cur_pro += cur_wait * boardingCost - runningCost cur_wait = 0 if cur_pro > max_pro: max_rot, max_pro = i, cur_pro return max_rot if max_pro > 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: ccnt = 0 output = [] prof = 4*boardingCost-runningCost for i in customers: ccnt += i if ccnt<4: pro = ccnt*boardingCost-runningCost ccnt = 0 else: pro = prof ccnt -= 4 output.append(pro) while ccnt>4: output.append(prof) ccnt-=4 output.append(ccnt*boardingCost-runningCost) maxv=totp=0 res=-1 for n,i in enumerate(output): totp += i if totp>maxv: maxv=totp res=n+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 = 0 onboard = 0 total = 0 count = 0 max_count = 0 max_total = 0 for ind, cust in enumerate(customers): count += 1 if (cust + wait > 4): wait = cust + wait - 4 onboard = 4 else: wait = 0 onboard = cust + wait total = total + onboard * boardingCost - runningCost if (max_total < total): max_total = total max_count = count while(wait > 0): count += 1 if wait>4: onboard = 4 wait = wait - 4 else: onboard = wait wait = 0 total = total + onboard * boardingCost - runningCost if (max_total < total): max_total = total max_count = count if (max_total > 0): return max_count 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: p, res = 0, 0 profit = 0 cur = 0 count = 0 for i,c in enumerate(customers): cur += c if cur >= 4: profit += boardingCost * 4 - runningCost cur -= 4 else: profit += boardingCost * cur - runningCost cur = 0 if profit > p: p = profit res = i + 1 i = len(customers) while cur > 0: if cur >= 4: profit += boardingCost * 4 - runningCost cur -= 4 else: profit += boardingCost * cur - runningCost cur = 0 if profit > p: p = profit res = i + 1 i += 1 return -1 if res == 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: if 4*boardingCost-runningCost<0: return -1 n=len(customers) prof,max_prof=0,-1000 rot,min_rot=0,0 c_sum=0 for i,c in enumerate(customers): c_sum+=c if c_sum>=4: prof+=4*boardingCost-runningCost c_sum-=4 else: prof+=c_sum*boardingCost-runningCost c_sum=0 if prof>max_prof: max_prof=prof min_rot=i+1 flag=(c_sum%4)*boardingCost-runningCost>0 prof+=c_sum*boardingCost-(c_sum//4+flag)*runningCost if prof>max_prof: max_prof=prof min_rot=n+c_sum//4+flag return min_rot if max_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: wait=0 maxp=-1 profit=0 ans=-1 for i in range(len(customers)): wait+=customers[i] if(wait>4): wait-=4 profit+=4*boardingCost profit-=runningCost else: profit+=(wait*boardingCost) wait=0 profit-=runningCost if(profit>maxp): ans=i+1 maxp=(profit) i=len(customers) while(wait!=0): if(wait>4): wait-=4 profit+=4*boardingCost profit-=runningCost else: profit+=(wait*boardingCost) wait=0 profit-=runningCost if(profit>maxp): ans=i+1 maxp=profit i+=1 if(maxp<=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: waiting = 0 boarded = 0 rotation = 0 profit = 0 for customer in customers: waiting += customer if waiting > 4: boarded += 4 waiting -= 4 rotation += 1 else: boarded += waiting waiting = 0 rotation += 1 profit = boarded*boardingCost - rotation*runningCost optimal_rotation = rotation while waiting > 0: if waiting >= 4: boarded += 4 waiting -= 4 else: boarded += waiting waiting = 0 rotation += 1 new_profit = boarded * boardingCost - rotation * runningCost if new_profit > profit: profit = new_profit optimal_rotation = rotation if profit > 0: return optimal_rotation 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: waiting, profit, max_profit, count, res = 0, 0, -1, 0, 0 for k in customers: count += 1 waiting += k profit -= runningCost profit = profit + waiting * boardingCost if waiting <= 4 else profit + 4 * boardingCost waiting = 0 if waiting <= 4 else waiting - 4 if max_profit < profit: max_profit = profit res = count while waiting > 0: count += 1 profit -= runningCost profit = profit + waiting * boardingCost if waiting <= 4 else profit + 4 * boardingCost waiting = 0 if waiting <= 4 else waiting - 4 if max_profit < profit: max_profit = profit res = count return res if max_profit >= 0 else -1