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Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: size = len(arr) mem = [0] * size for i in range(size): maxArr = 0 for j in range(0, k): if i - j >= 0: maxArr = max(maxArr, arr[i - j]) candidate = maxArr * (j + 1) candidate += 0 if i - j == 0 else mem[i - j - 1] mem[i] = max(mem[i], candidate) else: break return mem[size - 1]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: dp = {} def help(arr,k, start=0): if start == len(arr): return 0 if start in dp: return dp[start] dp[start] = -float('inf') maxval = arr[start] for i in range(start,min(start+k,len(arr))): maxval = max(maxval,arr[i]) dp[start] = max(dp[start],maxval*(i-start+1)+help(arr,k,i+1)) return dp[start] return help(arr,k)
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: N = len(arr) K = k dp = [0] * (N + 1) for i in range(N): curMax = 0 for k in range(1, min(K, i + 1) + 1): curMax = max(curMax, arr[i - k + 1]) dp[i] = max(dp[i], dp[i - k] + curMax * k) return dp[N - 1]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, A: List[int], K: int) -> int: # Recursive approach memo = {} def getMax(arr, k, idx): # if reached end if idx == len(arr): return 0 if idx in memo: return memo[idx] maxSum, maxInSub = 0, 0 for i in range(idx, min(idx+K, len(arr))): maxInSub = max(maxInSub, arr[i]) maxSum = max(maxSum, maxInSub*(i-idx+1) + getMax(arr, k, i+1)) memo[idx] = maxSum return maxSum return getMax(A, K, 0) # # dp[i] will hold the maximum sum # # from [0, i) # dp[i] = [0] * (len(A)+1)
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, A: List[int], K: int) -> int: dp = [0]*len(A) dp[0] = A[0] partition_max = A[0] for x in range(1,K): partition_max = max(partition_max, A[x]) dp[x] = (x+1)*partition_max print(dp) for i in range(K, len(dp)): partition_max = float('-inf') for j in range(K): partition_max = max(partition_max, A[i-j]) dp[i] = max(dp[i], dp[i-j-1] + (j+1)*partition_max) print(dp) return dp[-1]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, A: List[int], K: int) -> int: size = len(A) if K == 1: return sum(A) dp = [0] * (size + 1) for i in range(size): cur_max = float('-inf') block_size = 1 while block_size <= K and i - block_size + 1 >= 0: cur_max = max(cur_max, A[i - block_size + 1]) #cur_max = max(A[i - block_size + 1:i+1]) if i - block_size + 1 >= 0 else max(A[:i+1]) dp[i+1] = max(dp[i+1], dp[i - block_size + 1] + block_size * cur_max) block_size += 1 return dp[size]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: n = len(arr) dp = [0]*(n+1) for i in range(1, n+1): cur_max = 0 for j in range(1, min(k, i)+1 ): cur_max = max(cur_max, arr[i-j]) dp[i] = max(dp[i], cur_max*j + dp[i-j]) return dp[-1] # n = len(arr) # memo = {n:0} # def helper(arr, i): # if i in memo: # return memo[i] # res = 0 # for j in range(i, min(n,i+k)): # res = max(res, helper(arr, j+1)+max(arr[i:j+1])*(j+1-i)) # memo[i] = res # return res # return helper(arr, 0)
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: n = len(arr) dp = [0]*n for i in range(n): dp[i] = arr[i] + (dp[i-1] if i-1>=0 else 0) tmp = arr[i] for j in range(1,k): if i-j>=0: tmp = max(tmp, arr[i-j]) dp[i] = max(dp[i], tmp*(i-(i-j)+1)+ (dp[i-j-1] if i-j-1>=0 else 0)) return dp[-1]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: n = len(arr) dp = [0] * (n+1) dp[1] = arr[0] for i in range(2, n+1): dp[i] = dp[i-1] + arr[i-1] cur_max = arr[i-1] for j in range(1, k+1): ## j: number of elements in the last group cur_max = max(cur_max, arr[i-j]) if i-j>=0: dp[i] = max(dp[i], dp[i-j]+j*cur_max) return dp[n]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: dp = [0]*(len(arr)+1) for i in range(1, len(arr)+1): dp[i] = float('-inf') curr_max = arr[i-1] for p in range(1, k+1): if p > i: break curr_max = max(curr_max, arr[i-p]) dp[i] = max(dp[i], p*curr_max + dp[i-p]) return dp[-1]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, A: List[int], K: int) -> int: self.max_sum = float('-inf') self.dic = {} # @functools.lru_cache(None) def getSum(i): if i>=len(A): # if cur_sum>self.max_sum: # self.max_sum = cur_sum return 0 if i in self.dic: return self.dic[i] cur_max = A[i] ret = cur_max + getSum(i+1) for j in range(1,K): if i+j<len(A): if A[i+j]>cur_max: cur_max = A[i+j] ret = max(cur_max*(j+1) + getSum(i+j+1), ret) else: break self.dic[i] = ret return ret return getSum(0)
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: @lru_cache(None) def rec(self, idx): if idx>len(self.A): return 0 max_yet = 0 max_score = 0 for i in range(self.K): if idx+i>=len(self.A): break max_yet = max(max_yet, self.A[idx+i]) max_score = max(max_score, max_yet*(i+1) + self.rec(idx+i+1)) return max_score def maxSumAfterPartitioning(self, A: List[int], K: int) -> int: self.A = A self.K = K return self.rec(0)
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: cacheMax=[[0]*len(arr) for i in range(len(arr))] for i in range(len(arr)): cacheMax[i][i]=arr[i] for i in range(1,len(arr)): for j in range(max(i-k+1,0),i+1): cacheMax[j][i] = max(cacheMax[j][i-1],arr[i]) dp=[0]*(len(arr)+1) dp[1]=arr[0] for i in range(1,len(arr)): for j in range(max(0,i-k+1),i+1): dp[i+1]=max(dp[i+1],dp[j]+cacheMax[j][i]*(i-j+1)) return dp[-1]
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, A: List[int], K: int) -> int: def DPHelper(index): if(index >= len(A)): return 0 if(memo.get(index) is not None): return memo[index] res = 0 curr_max = 0 for i in range(index, min(index + K, len(A))): curr_max = max(curr_max, A[i]) res = max(res, (curr_max * (i - index + 1)) + DPHelper(i + 1)) memo[index] = res return res memo = {} return DPHelper(0)
Given an integer array arr, you should partition the array into (contiguous) subarrays of length at most k. After partitioning, each subarray has their values changed to become the maximum value of that subarray. Return the largest sum of the given array after partitioning.   Example 1: Input: arr = [1,15,7,9,2,5,10], k = 3 Output: 84 Explanation: arr becomes [15,15,15,9,10,10,10] Example 2: Input: arr = [1,4,1,5,7,3,6,1,9,9,3], k = 4 Output: 83 Example 3: Input: arr = [1], k = 1 Output: 1   Constraints: 1 <= arr.length <= 500 0 <= arr[i] <= 109 1 <= k <= arr.length
class Solution: def maxSumAfterPartitioning(self, arr: List[int], k: int) -> int: dp = [0] * (len(arr) + 1) for i in range(1, len(arr) + 1): curM = arr[i-1] for j in range(1, min(i , k) + 1): curM = max(curM, arr[i-j]) dp[i] = max(dp[i], dp[i-j] + curM * j) return dp[-1] # def maxSumAfterPartitioning(self, A, K): # N = len(A) # dp = [0] * (N + 1) # for i in xrange(N): # curMax = 0 # for k in xrange(1, min(K, i + 1) + 1): # curMax = max(curMax, A[i - k + 1]) # dp[i] = max(dp[i], dp[i - k] + curMax * k) # return dp[N - 1]
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0]*121 s = [0]*121 for a in ages: count[a]+=1 for i in range(1,121): s[i] = s[i-1]+count[i] res = 0 for i in range(15,121): edge = i//2+7 num = s[i]-s[edge] res+=count[i]*num-count[i] return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: # Note age[B] > 100 && age[A] < 100 is redundant since we have age[B] > age[A] def wantToRequest(A, B): return not(B <= 0.5 * A + 7 or B > A) count = Counter(ages) ans = 0 ages = [*sorted(count.keys())] for i, a in enumerate(ages): for j in range(0, i+1): b = ages[j] if wantToRequest(a, b): ans += count[a] * count[b] if a != b else count[a] * (count[b] - 1) return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: sum = 0 counts = collections.Counter(ages) ages = sorted(counts.keys()) for A in range(0,len(ages)): for B in range(0,len(ages)): condition1 = ages[B] <= 0.5 * ages[A] + 7 condition2 = ages[B] > ages[A] condition3 = ages[B] > 100 and ages[A] < 100 if not (condition1 or condition2 or condition3): if A!=B: sum += counts[ages[A]]*counts[ages[B]] else: sum += (counts[ages[A]]-1)*counts[ages[B]] return sum
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution(object): def numFriendRequests(self, ages): count = [0] * 121 for age in ages: count[age] += 1 ans = 0 for ageA, countA in enumerate(count): for ageB, countB in enumerate(count): if ageA * 0.5 + 7 >= ageB: continue if ageA < ageB: continue if ageA < 100 < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0 for _ in range(121)] for a in ages: count[a] += 1 ans = 0 for a, cnt_a in enumerate(count): for b, cnt_b in enumerate(count): if a <= 0.5 * b + 7: continue if a > b: continue if a > 100 and b < 100: continue ans += cnt_a * cnt_b if a == b: ans -= cnt_a return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: def request(a,b): return not (b <= 0.5*a +7 or b > a or (b>100 and a < 100)) c = collections.Counter(ages) return sum( request(a,b) * c[a]* (c[b] - (a==b)) for a in c for b in c)
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: if not ages: return 0 freq = Counter(ages) def can_request(a, b): return not (b <= 0.5 * a + 7 or b > a or b > 100 and a < 100) ans = 0 for a1 in range(1, 121): for a2 in range(1, 121): if can_request(a1, a2): ans += (freq[a1] * freq[a2]) if a1 != a2 else (freq[a1] * (freq[a1]-1)) return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: if not ages or len(ages) < 2: return 0 res=0 d=[0]*121 for age in ages: d[age]+=1 for A in range(121): for B in range(121): count=0 if B<=A and B> A//2 +7: count+=d[A]*d[B] if A==B and count: count-=d[A] res+=count return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
''' a -> b if a = 10 b = 12 b > a a = 50 b = 30 a = 50 b = 50 .5 * 50 + 7 = 32 a -> b if a >= b and b > 0.5 * a + 7 a > 0.5 * a + 7 0 > 0.5*a + 7 - a 0 > 7 - .5a .5a > 7 a > 14 mutual friend request if a > 14 [20, 20, 18, 18, 14, 12 ] 15 * .5 + 7 = 14.5 14 * .5 + 7 = 14 12 * .5 + 7 = 13 20 * .5 + 7 = 17 18 * .5 + 7 = 16 { 16: 1 17: 2 18: 4 19: 2 20: 4 } num_reqs = 8, [102, 98, 59] 102 * .5 + 7 = 58 59 98 * .5 + 7 = 56 {56: 1, 57: 1, 58: 1, 59: 2,...98: 3,...102: 2} 3 O(nlogn) O(1) ''' class Solution: def numFriendRequests(self, ages: List[int]) -> int: def invert(a): return -1 * a ages.sort(key=invert) age_request_map = collections.defaultdict(int) num_requests = 0 for age in ages: if age <= 14: break num_requests += age_request_map[age] # need to double count for same ages age_request_map[age] += 1 lowest_age = floor(age * .5 + 7) + 1 for i in range(lowest_age, age + 1): age_request_map[i] += 1 return num_requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_dic = {age: ages.count(age) for age in range(1,121)} pairs = 0 for A in range(1,121): for B in range(1,121): if B <= 0.5 * A + 7: continue elif B > A: continue elif B > 100 and A < 100: continue else: pairs += age_dic[A] * age_dic[B] if A == B: pairs -= age_dic[A] return pairs
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: # time O(A^2+n); space O(A) age_cnt = [0] * 121 for age in ages: age_cnt[age] += 1 res = 0 for ageA, cntA in enumerate(age_cnt): for ageB, cntB in enumerate(age_cnt): if ageB <= (0.5 * ageA + 7) or ageB > ageA or (ageB > 100 and ageA < 100): continue res += (cntA * cntB) if ageA == ageB: res -= cntA return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: counter = Counter(ages) ages = list(counter.keys()) res = 0 for a in ages: for b in ages: if b <= 0.5*a + 7: continue if b > a: continue if b > 100 and a < 100: continue if a == b: res += counter[a]*(counter[a]-1) else: res += counter[a]*counter[b] return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages = sorted(ages) res = 0 prev = None for i in range(len(ages) - 1, -1, -1): if i == len(ages) - 1 or ages[i] != ages[i + 1]: prev = i low ,right = 0 ,prev - 1 while low < right: mid = (low + right)//2 if ages[mid] <= 0.5*ages[i] + 7: low = mid + 1 else: right = mid if ages[low] > 0.5 * ages[prev] + 7: res += (prev - low) return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
from collections import Counter class Solution: def numFriendRequests(self, ages: List[int]) -> int: def is_valid(a, b): return not any([ b <= 0.5 * a + 7, b > a, b > 100 and a < 100 ]) counts = Counter(ages) ages = list(counts) requests = 0 for i in range(len(ages)): for j in range(len(ages)): count = ( counts[ages[i]] * (counts[ages[i]] - 1) if i == j else counts[ages[i]] * counts[ages[j]] ) requests += int(is_valid(ages[i], ages[j])) * count return requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: def counting_sort(): counts = 120 * [0] for i in range(len(ages)): counts[ages[i] - 1] += 1 s = [] for i in range(len(counts)): s += [i + 1] * counts[i] return s ages = counting_sort() res = 0 prev = None for i in range(len(ages) - 1, -1, -1): if i == len(ages) - 1 or ages[i] != ages[i + 1]: prev = i low ,right = 0 ,prev - 1 while low < right: mid = (low + right)//2 if ages[mid] <= 0.5*ages[prev] + 7: low = mid + 1 else: right = mid if ages[low] > 0.5 * ages[prev] + 7: res += (prev - low) return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: def counting_sort(): nonlocal ages counts = 120 * [0] for i in range(len(ages)): counts[ages[i] - 1] += 1 ages = [] for i in range(len(counts)): ages += [i + 1] * counts[i] counting_sort() res = 0 prev = None for i in range(len(ages) - 1, -1, -1): if i == len(ages) - 1 or ages[i] != ages[i + 1]: prev = i low ,right = 0 ,prev - 1 while low < right: mid = (low + right)//2 if ages[mid] <= 0.5*ages[prev] + 7: low = mid + 1 else: right = mid if ages[low] > 0.5 * ages[prev] + 7: res += (prev - low) return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages = sorted(ages) res = 0 prev = None for i in range(len(ages) - 1, -1, -1): if i == len(ages) - 1 or ages[i] != ages[i + 1]: prev = i low ,right = 0 ,prev - 1 while low < right: mid = (low + right)//2 if ages[mid] <= 0.5*ages[i] + 7: low = mid + 1 else: right = mid if ages[low] > 0.5 * ages[i] + 7: res += (prev - low) return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages = sorted(ages) res = 0 prev = None for i in range(len(ages) - 1, -1, -1): if i == len(ages) - 1 or ages[i] != ages[i + 1]: prev = i low ,right = 0 ,prev - 1 while low < right: mid = (low + right)//2 if ages[mid] <= 0.5*ages[prev] + 7: low = mid + 1 else: right = mid if ages[low] > 0.5 * ages[prev] + 7: res += (prev - low) return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: cnt = collections.Counter(ages) ans = 0 for age in ages: cnt[age] -= 1 left, right = age // 2 + 8, age ans += sum(cnt[age] for age in range(left, right + 1)) cnt[age] += 1 return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: def req(A, B): if B<=(0.5*A+7) or B>A or (B>100 and A<100): return False return True cnt = Counter(ages) ans = 0 for i in cnt: if cnt[i] > 1 and req(i, i): ans += cnt[i]*(cnt[i]-1) for j in cnt: if i != j and req(i, j): ans += cnt[i]*cnt[j] return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
from collections import Counter import math class Solution: def numFriendRequests(self, ages: List[int]) -> int: counter = Counter(ages) count = 0 for age_A in ages: max_age = age_A min_age = 0.5 * age_A + 7 for age_B in range(math.floor(min_age)+1, max_age+1): count += counter[age_B] if age_B == age_A: count -= 1 return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages = sorted(ages) count, temp_count = 0, 0 for i in range(len(ages)-1, -1, -1): if i+1 < len(ages) and ages[i+1] == ages[i]: count += temp_count continue temp_count, current = 0, i-1 age = 0.5 * ages[i] + 7 while current >= 0 and ages[current] > age: temp_count += 1 current = current - 1 count = count + temp_count return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages.sort() res = 0 i = 0 while i<len(ages): if ages[i]<=14: i+=1 else: break if i==len(ages): return 0 leftmost = i for i in range(leftmost,len(ages)): left,right = leftmost,i-1 edge = ages[i]*0.5+7 while left<=right: m = (left+right)//2 if ages[m]<=edge: left = m+1 else: right = m-1 res+=i-left # find same age: left,right = i+1,len(ages)-1 while left<=right: m = (left+right)//2 if ages[m]<=ages[i]: left = m+1 else: right = m-1 left-=1 res+=left-i return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ageIdx = defaultdict(list) for i,age in enumerate(ages): ageIdx[age].append(i) count = 0 for age in ageIdx: lowerBound = int((1/2)*age)+7+1 upperBound = age for A in ageIdx[age]: for candAge in range(lowerBound,upperBound+1): if candAge in ageIdx: if candAge != age: count += len(ageIdx[candAge]) else: count += len(ageIdx[candAge]) - 1 return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_range = [0] * 121 ages = sorted(ages) ans = 0 for age in ages: for i in range(age - 1, -1, -1): if i <= 0.5 * age + 7: break ans += age_range[i] # it is tricky here, becareful if age > 0.5 * age + 7: ans += age_range[age] * 2 age_range[age] += 1 return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
''' Start: 2:25 p.m. ''' ''' - Visualize everything. - Work with concrete examples. - Commit to a hunch. Crystallize it into an approach that can be evaluated (validated/invalidated). OK if approach seems unlikely to work. ''' ''' [16, 16] A will not send FR to someone who is older (same age OK). => sort the array A will not send FR to someone who is \"much\" younger. If A is under 100, he will not send FR to anyone over 100. Not FR self. ''' ''' Brute-force: evaluate every pair Time: O(n^2) Space: O(1) ''' ''' - A will not friend anyone older so no need to look forward, only backward. Time:O(n log n) Space: O(n) - Sort - For each num, compute minimum bound, BS. lb = 16/8 + 7 = 15 [16,17,18] i 17/2 = 8.5 ~= 8 15 ''' ''' Test Cases no numbers before i (works) [5] i nothing >= lower bound (works) [1, 2, 50] i lb = 32 multiple occurrences of lb (works) [1, 2, 32, 32, 40, 41, 50] m l r i ret lb = 32 only > lb (works) [1, 2, 40, 41, 50] i ret [40, 41, 50] (works) i ret ''' ''' PASS [1, 2, 32, 32, 40, 41, 50] [1, 2, 50] [1, 2, 40, 41, 50] [40, 41, 50] [16,16] ''' class Solution: def firstLTE(self, lowerBound, ages, endIndex): if endIndex < 0: return 0 l = 0 r = endIndex while l < r: m = (l + r) // 2 # originally ages[l], ages[r] instead of l, r -- I'm very compromised today. if ages[m] <= lowerBound: l = m + 1 else: r = m if l <= r and ages[l] > lowerBound: return l return endIndex + 1 def findEarliest(self, key, ages, endIndex): if endIndex < 0: return -1 l = 0 r = endIndex while l < r: m = (l + r) // 2 if ages[m] >= key: r = m else: l = m + 1 if l <= endIndex and ages[l] == key: return l return -1 ''' [16, 16] l r i lowerBound = 23 [1, 2, 32, 32] m l r ''' def numFriendRequests(self, ages: List[int]) -> int: if not ages: return 0 numRequests = 0 ages.sort() # O(n log n)/O(n) for i, a in enumerate(ages): lowerBound = a*0.5 + 7 # divided instead of multiplied originally startIndex = self.firstLTE(lowerBound, ages, i - 1) #print('i = {}, startIndex = {}, delta = {}'.format(i, startIndex, i - startIndex)) numRequests += i - startIndex if a > lowerBound: startIndex = self.findEarliest(a, ages, i - 1) if startIndex >= 0 and startIndex < i: numRequests += i - startIndex return numRequests ''' [73,106,39,6,26,15,30,100,71,35,46,112,6,60,110] '''
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
import collections class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_count = collections.Counter(ages) res = 0 for age_A, count_A in age_count.items(): for age_B, count_B in age_count.items(): if not age_B <= age_A * 0.5 + 7 and not age_B > age_A: if age_A == age_B: res += count_A * (count_A - 1) else: res += count_A * count_B return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages = sorted(ages) print(ages) def bound(a): low = a//2 + 8 hi = a return (min(low, a), hi) def getlow(v): lo, hi = 0, len(ages) while lo < hi: mid = (lo + hi)//2 if ages[mid] >= v: hi = mid else: lo = mid + 1 return hi def getupper(v): lo, hi = 0, len(ages) while lo < hi: mid = (lo + hi)//2 if ages[mid] <= v: lo = mid + 1 else: hi = mid return hi-1 count = 0 for i in range(len(ages)): if ages[i] <= 14: continue minv, maxv = bound(ages[i]) c= getupper(maxv) - getlow(minv) # print(i,\" :\",c, getlow(minv), getupper(maxv) ) count += c p = 115 # print( getlow(p), getupper(p)) return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages = sorted(ages, reverse=True) n = len(ages) dp = [0] * n res = 0 for i in range(n): if i > 0 and ages[i] == ages[i-1]: dp[i] = dp[i-1] res += dp[i] continue for j in range(i+1, n): if ages[j] <= 0.5 * ages[i] + 7: break else: dp[i] += 1 res += dp[i] return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: if ages == []: return 0 ages.sort() res = 0 for i in range(len(ages) - 1, -1, -1): if ages[i] < 15: break age = ages[i] left = self.binary_search_left(ages, 0, i, age // 2 + 8) right = self.binary_search_right(ages, i, len(ages) - 1, age) #print(left, right) res += max(0, right - left) return res def binary_search_left(self, ages, start, end, target): while start + 1 < end: mid = (start + end) // 2 if ages[mid] < target: start = mid else: end = mid if ages[start] >= target: return start if ages[end] >= target: return end return -1 def binary_search_right(self, ages, start, end, target): while start + 1 < end: mid = (start + end) // 2 if ages[mid] <= target: start = mid else: end = mid if ages[end] <= target: return end if ages[start] <= target: return start return -1
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages.sort() def count(a): i, j = 0, len(ages) - 1 while i < j: k = (i + j + 1) // 2 if ages[k] <= a: i = k else: j = k - 1 u = i v = a // 2 + 7 i, j = 0, len(ages) - 1 while i < j: k = (i + j) // 2 if ages[k] <= v: i = k + 1 else: j = k l = i return u - l if l <= u else 0 return sum(count(a) for a in ages)
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = 0 ages.sort() for i, age in enumerate(ages): minTarget = (age // 2) + 7 maxTarget = age minIdx = self.binFinder(ages, minTarget) maxIdx = self.binFinder(ages, maxTarget) count += max(0, maxIdx - minIdx -1) return count def binFinder(self, arr, target): left, right = 0, len(arr) - 1 while left <= right: mid = left + ((right - left)//2) if arr[mid] <= target: left = mid + 1 else: right = mid - 1 return left
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
# id(index) -> age # age1 <= 7 + 0.5 age2 # age1 > age2 #age1 > 100 and age b < 100 # no selfloop, #A request does not mean B reqeust A def count_smaller_than(ages, target): # 1,15,17 left = 0 # 1 right = len(ages) - 1 # 0 # 1 5 6 11 all elements smaller than target 7 # 1 [5] [6 [11] L = 3 R= 3 --> L = 3 R = 2 L -1 # L = 4 R = 3 # [5] [6] 11 12 0 -> 0 0 -> -1 # 5 6 | [6] 6 7 while left <= right: mid = left+(right-left)//2 # 15 # 1 if ages[mid] < target: # 15 < 15 left = mid+1 # elif ages[mid] == target and ages[a_index] == ages[mid]: # right = mid - 1 else:# ages[mid] >= target: right = mid -1 # 0 return left # 0 - 1 # edge case [16,16] import math class Solution: def numFriendRequests(self, ages: List[int]) -> int: #brute force #we loop on friends A # we loop again B # increment if a request B or B requests A # time o(n^2), space o(1) #A < B # --> check only once not twice because second one is always false #whenever B > 100 and A < 100 --> recursve # O(N^2) #A --> 10 ---> [maximum length we make friends of] --> we search for that in the array and then we return # nlogn --> sort # n * logn (Binary search) to get the count ages.sort() # sort in ascending order friend_requests = 0 #[1,17,18] for i in range(len(ages)): age_a = ages[i] # 16 # max_age_b = max(age_a,) # age_a = 9 -> 4.5 + 7 -> 11.5 # 0 # 0 1 2 3 # 1 * 0.5 + 7 -> 7 smaller_than = count_smaller_than(ages, math.floor(0.5 * age_a) + 8) # these are the ones to exclude, if it's smaller_than_i = count_smaller_than(ages, age_a+1) a_requests = max(0, smaller_than_i - 1 - smaller_than) #(itself) friend_requests += a_requests return friend_requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def B_search(self, nums, target): low, high=0, len(nums)-1 while low<high: mid=low+(high -low)//2 if nums[mid] < target: low=mid+1 else: high=mid return high def numFriendRequests(self, ages: List[int]) -> int: ages.sort() count = 0 for age in ages: left= self.B_search(ages, int((0.5 * age) + 7)+1) right= self.B_search(ages,age+1) if right==len(ages)-1 and ages[right]==age: right+=1 if ages[left]==(0.5 * age) + 7: left+=1 count += max(0, right - left - 1) return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages.sort() ans = 0 l, r, N = 0, 0, len(ages) same_count = 0 while r < N: same_count = 1 while r+1 < N and ages[r+1] == ages[r]: same_count += 1 r += 1 while l < r and ages[l] <= 0.5*ages[r]+7: l += 1 if l != r: ans += same_count*(r-l) r += 1 return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: n = len(ages) if n < 2: return 0 ages.sort() mins = [0] * n pairs = [0] * n mins[0] = ages[0] / 2 + 7 for i in range(1, n): mins[i] = (ages[i] - ages[i-1]) / 2 + mins[i-1] if ages[i-1] <= mins[i]: continue if mins[i] == mins[i-1]: pairs[i] = pairs[i-1] + 2 continue j = i - 1 while j >= 0 and ages[j] > mins[i]: pairs[i] += 1 if ages[j] == ages[i]: pairs[i] += 1 j-=1 return sum(pairs)
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
from collections import Counter class Solution: def numFriendRequests(self, ages: List[int]) -> int: dic = Counter(ages) res = 0 for ageA, cntA in list(dic.items()): for ageB, cntB in list(dic.items()): if (ageB <= 0.5*ageA + 7) or (ageB > ageA) or (ageB > 100 and ageA < 100): continue res += cntA*cntB if ageA == ageB: res -= cntA return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ''' Algorithm --------- We first count the frequency of the ages ''' def friendRequests(age_a, age_b): if age_b <= (0.5 * age_a + 7) or age_b > age_a: return False return True age_groups = collections.Counter(ages) total_requests = 0 for age_a, count_a in list(age_groups.items()): for age_b, count_b in list(age_groups.items()): if friendRequests(age_a,age_b): total_requests += count_a * count_b # if both candidates are the same, we reduce total # requests by one of their frequencies if age_a == age_b: total_requests -= count_a return total_requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
import collections class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_count = collections.Counter(ages) res = 0 for age_A, count_A in age_count.items(): for age_B, count_B in age_count.items(): if not age_B <= age_A * 0.5 + 7 and not age_B > age_A: res += count_A * count_B if age_A == age_B: res -= count_A return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: c = collections.Counter(ages) count = 0 for a in c: for b in c: if self.request(a, b): continue count += c[a]*c[b] if a == b: count -= c[a] return count def request(self, a, b): return (b<=0.5*a+7 or b > a or a < 100 < b) # c = collections.Counter(ages) # count = 0 # for a in c: # for b in c: # result = self.request(a, b) # if result: # continue # count += c[a] * c[b] # if a == b: # count -= c[b] # return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: counts = [0]*121 for age in ages: counts[age] += 1 SUM = 0 sums = [] for c in counts: SUM += c sums.append(SUM) res = 0 for age in range(15 ,121): up = age down = age//2 + 7 res += counts[age] * (sums[up]-sums[down]-1) return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: c = collections.Counter(ages) def request(x, y): return not (y <= 0.5 * x + 7 or (x < 100 and y > 100) or x < y) ans = 0 for x in c: for y in c: if request(x, y): if x == y: ans += c[x] * (c[y] - 1) else: ans += c[x] * c[y] return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: c = collections.Counter(ages) count = 0 for a in c: for b in c: result = self.request(a, b) if result: continue count += c[a] * c[b] if a == b: count -= c[b] return count def request(self, a, b): return (b<=0.5*a+7 or b > a or a < 100 < b)
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ages.sort(reverse = True) n = len(ages) def check(a,b): if b <= (a*0.5)+7: return False if b> a: return False if b> 100 and a< 100: return False return True res = 0 c = collections.Counter(ages) for a in c: for b in c: if check(a,b): res+= c[a]*(c[b]-(a==b)) return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages) -> int: ages = collections.Counter(ages) ans = 0 for ageA, countA in list(ages.items()): for ageB, countB in list(ages.items()): if ageA * 0.5 + 7 >= ageB: continue if ageA < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
import collections class Solution: #problem: https://leetcode.com/problems/friends-of-appropriate-ages/ # refered the solution in : https://leetcode.com/problems/friends-of-appropriate-ages/discuss/737217/Python-simple-solution-using-counters-beats-85 def numFriendRequests(self, ages: List[int]) -> int: count = 0 # the number of friend requests table = collections.Counter(ages) for ageA in table: num_ = table[ageA] # the number age' people for ageB in table: if ageB <= 0.5 * ageA + 7: continue if ageB > ageA: continue if ageB > 100 and ageA < 100: continue # if the age is not me if ageA != ageB: count += num_ * table[ageB] else: count += int(num_ * (num_ - 1)) return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: def helper(a,b): tmpB = a*0.5+7 return 0 if b<=tmpB or b>a or (b>100 and a<100) else 1 res,n = 0,len(ages) if n == 1: return res counts = Counter(ages) for ageA in counts: for ageB in counts: countA,countB = counts[ageA],counts[ageB] if helper(ageA,ageB): res += countA*countB if ageA == ageB: res -= countA return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = 0 counter = [0]*121 for i in ages: counter[i] += 1 for a in range(1, 121): for b in range(1, 121): if b > a: continue if b <= 0.5*a+7: continue if b > 100 and a < 100: continue count += counter[a]*counter[b] if a == b: count -= counter[a] return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: def cond(a, b): return not (b <= 0.5 * a + 7 or b>a or (b > 100 and a < 100)) freq = Counter(ages).items() cnt= 0 for a, r in freq: for b, c in freq: if cond(a,b): if a==b: cnt+=(r*(r-1)) else: cnt+=r*c return cnt
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: counter = [0]*121 res = 0 for a in ages: if a<=14: continue counter[a] += 1 for i in range(15, 121): for j in range(i+1): if j<=0.5*i+7: continue res += counter[i]*counter[j] if i==j: res -= counter[i] return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
import math from collections import Counter class Solution: def numFriendRequests(self, ages: List[int]) -> int: sol = 0 c = Counter(ages) smaller_equal_age = [0] for i in range(1,121): smaller_equal_age.append(smaller_equal_age[-1] + c[i]) for i in range(15,121): sol += c[i] * (smaller_equal_age[i] - 1 - smaller_equal_age[math.floor(0.5 * i + 7)]) return sol
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages) -> int: ages = Counter(ages) ans = 0 for age_a, count_a in ages.items(): for age_b, count_b in ages.items(): if age_a * 0.5 + 7 >= age_b: continue if age_a < age_b: continue if age_a < 100 and age_b > 100: continue ans += count_a * count_b if age_a == age_b: ans -= count_a return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0] * 121 for a in ages: count[a] += 1 # * iterates entire count for i, val in enumerate(count): count[i] = count[i - 1] + val total = 0 for a in ages: ageMin = floor(0.5 * a + 8) ageMax = min(a, 120) ageMin = max(ageMin - 1, 0) total += max(count[ageMax] - count[ageMin] - 1, 0) # * total += max(count[min(ageMax, 120)] - count[max(ageMin - 1, 0)] - 1, 0) return total
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: def request(a, b): return not (b <= 0.5 * a + 7 or b > a or b > 100 and a < 100) c = collections.Counter(ages) return sum(request(a, b) * c[a] * (c[b] - (a == b)) for a in c for b in c)
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
from collections import Counter class Solution: def numFriendRequests(self, ages: List[int]) -> int: c = Counter(ages) return sum(self.can_be_friend(a, b) * c[a] * (c[b] - (a == b)) for a in c for b in c) def can_be_friend(self, age1, age2): if age2 <= 0.5 * age1 + 7 or age2 > age1 or (age2 > 100 and age1 < 100): return False return True
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0] * 121 for age in ages: count[age] += 1 ans = 0 for ageA, countA in enumerate(count): for ageB, countB in enumerate(count): if ageA * 0.5 + 7 >= ageB: continue if ageA < ageB: continue if ageA < 100 < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: nums=[0]*121 for age in ages: nums[age]+=1 ans=0 request=[set() for i in range(121)] for i in range(1,121): for j in range(1,121): if (not ((j<=i//2+7) or (j>i) or (j>100 and i<100))): request[i].add(j) for i in range(1,121): for j in request[i]: ans+=nums[i]*(nums[j] if i!=j else(nums[j]-1)) return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: ''' 102 A -- not -> B B <= 0.5A + 7 B > A ~ B > 100 & A < 100 split to > 100, < 100 groups right to left, > 100 region ''' count = [0] * 121 for age in ages: count[age] += 1 res = 0 for ageA, countA in enumerate(count): for ageB, countB in enumerate(count): if (ageA * 0.5 + 7 >= ageB): continue if (ageA < ageB): continue if (ageA<100 and ageB >100): continue res += countA * countB if ageA == ageB: res -= countA return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
'''class Solution: def numFriendRequests(self, ages: List[int]) -> int: total_age = 121 ageCnt = [0]*total_age prefixSum = [0]*total_age for age in ages: ageCnt[age] += 1 for i in range(1, total_age): prefixSum[i] = ageCnt[i] + prefixSum[i-1] res = 0 for i in range(15, total_age): if ageCnt[i] == 0: continue res += ageCnt[i]*(prefixSum[i]-prefixSum[int(i*.5+7)]-1)#)- ageCnt[i] return res ''' class Solution: def numFriendRequests(self, ages: List[int]) -> int: maxAge = 121 preSum = [0]*maxAge from collections import Counter ageCnt = Counter(ages) for i in range(1, maxAge): preSum[i] += preSum[i-1] + ageCnt[i] res =0 for age in range(15, maxAge): res += (preSum[age]-preSum[int(.5*age+7)]-1) * ageCnt[age] return res ''' Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 ''' '''from collections import Counter cnt = Counter(ages) res = 0 def request(a,b): return not (b <= .5*a+7 or b>a) for a in cnt: for b in cnt: res += request(a,b)*cnt[a]*(cnt[b]-(a==b)) return res '''
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: valid_ages = [0] * 121 for age in ages: valid_ages[age] += 1 count = 0 for i in range(1, 121): ageA = valid_ages[i] for j in range(1, 121): ageB = valid_ages[j] if j <= 0.5 * i + 7 or j > i: continue if j > 100 and i < 100: continue count += ageA * ageB if i == j: count -= ageA return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: # first start something simple # should be able to do this in O(n) ages.sort() ans, i, j = 0, 0, 0 while i < len(ages): val = ages[i] while j < i and ages[j] <= (0.5 * val + 7): j += 1 cnt, num_equal = i - j, 0 while i < len(ages) and ages[i] == val: num_equal, i = num_equal + 1, i+1 # here could be either out of bound of different value ans += (num_equal * cnt) + (num_equal * (num_equal-1)) return ans def numFriendRequests(self, ages): count = [0] * 121 for age in ages: count[age] += 1 ans = 0 for ageA, countA in enumerate(count): for ageB, countB in enumerate(count): if ageA * 0.5 + 7 >= ageB: continue if ageA < ageB: continue # if ageA < 100 < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_counts = [0] * 121 for age in ages: age_counts[age] += 1 request_count = 0 for ageA, age_countA in enumerate(age_counts): for ageB, age_countB in enumerate(age_counts): if ageB <= ((.5 * ageA) + 7): continue if ageB > ageA: continue if ageA < 100 < ageB: continue request_count += age_countA * age_countB if ageA == ageB: request_count -= age_countA return request_count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages): count = [0] * 121 for age in ages: count[age] += 1 ans = 0 for ageA, countA in enumerate(count): for ageB, countB in enumerate(count): if ageA * 0.5 + 7 >= ageB: continue if ageA < ageB: continue if ageA < 100 < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0] * 121 for age in ages: count[age] += 1 res = 0 for age_a, count_a in enumerate(count): for age_b, count_b in enumerate(count): if age_b <= 0.5 * age_a + 7: continue if age_b > age_a: continue if age_b > 100 and age_a < 100: continue res += count_a * count_b if age_a == age_b: res -= count_a return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0] * 121 max_age = 0 for age in ages: count[age] += 1 max_age = max(max_age, age) ans = 0 for ageA, countA in enumerate(count[:max_age+2]): for ageB, countB in enumerate(count[:max_age+2]): if ageA * 0.5 + 7 >= ageB: continue if ageA < ageB: continue if ageA < 100 < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0] * 121 for age in ages: count[age] += 1 res = 0 for ageA, countA in enumerate(count): for ageB, countB in enumerate(count): if ageB <= ageA*0.5+7: continue if ageB > ageA: continue if ageB > 100 and ageA < 100: continue res += countA*countB if ageA == ageB: res-=countA return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0] * 121 for age in ages: count[age] += 1 ans = 0 for ageA, countA in enumerate(count): for ageB, countB in enumerate(count): if ageA * 0.5 + 7 >= ageB: continue if ageA < ageB: continue if ageA < 100 < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans ''' 不考虑遍历所有的 20000 个人,我们只考虑遍历所有的元组 (age, count) 表示在这个年纪有多少人。因为最多只有 120 个可能的年纪,这会是一个很快的提升。 算法 对于每个元组 (ageA, countA),(ageB, countB),如果条件满足对应的年纪,那么久将 countA * countB 加入发好友请求的人数。 当 ageA == ageB 的时候我们就数多了:我们只有 countA * (countA - 1) 对好友请求,因为你不能和自己发送请求。 JavaPython '''
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: requests = 0 ageCount = [0] * 121 for age in ages: ageCount[age] += 1 for A in range(120, 14, -1): if not ageCount[A]: continue requests += (ageCount[A] * (ageCount[A] - 1)) for B in range(A-1, int(0.5*A + 7), -1): requests += (ageCount[A] * ageCount[B]) return requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: a = sorted(ages) i,j,k = 0,0,0 ans = 0 for i in range(1,len(a)): if a[i] <= 14: continue lb = a[i]*0.5 + 7 while a[j] <= lb: j += 1 ans += i-j if a[k] != a[i]: k = i ans += i-k return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_dict = collections.Counter(ages) sorted_ages = sorted(age_dict.keys()) requests = 0 for i in sorted_ages: for j in sorted_ages: if (j>100 and i<100) or (j<=0.5*i+7): continue if j>i: break if i==j: requests += age_dict[i]*(age_dict[j]-1) else: requests +=age_dict[i]*age_dict[j] return requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
''' PASS [1, 2, 32, 32, 40, 41, 50] [1, 2, 50] [1, 2, 40, 41, 50] [40, 41, 50] [16,16] [6, 6] ''' class Solution: def numFriendRequests(self, ages: List[int]) -> int: ''' Observation: ages might be long (20,000), but there are only 120 possible values for ages. ''' ageCounts = Counter(ages) numRequests = 0 ''' [8,85,24,85,69] ''' for a in range(1, 121): if ageCounts[a] > 0: exclLowerBound = 0.5*a + 7 lowerBound = ceil(exclLowerBound) if lowerBound == exclLowerBound: lowerBound += 1 for a2 in range(lowerBound, a): # multiply by ageCounts[a], each instance will send FR numRequests += ageCounts[a2]*ageCounts[a] if lowerBound <= a: # 16, 16, 16 # each instance will send FR to all the others numRequests += ageCounts[a]*(ageCounts[a] - 1) return numRequests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def check(self, a, b): if b <= 0.5*a+7: return False if b > a: return False if b > 100 and a < 100: return False return True def numFriendRequests(self, ages: List[int]) -> int: cnt = 0 c = [0 for x in range(121)] for a in ages: c[a] += 1 #print(c) for i in range(len(c)): for j in range(len(c)): if self.check(i, j): #print(i, j) #print(ages[i], ages[j]) cnt += c[i]*c[j] if i == j: cnt -= c[i] return cnt
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: dp=[0]*(121) for i in ages: dp[i]+=1 ans=0 mp={} for i in range(15,121): p=0 if dp[i]>0: if i%2==0: Min=int((i/2)+8) else: Min=int(math.ceil((i/2)+7)) # Min=int(0.5*i+7) Max=i j=Min while j<=Max and j<=120: if j==i: ans+=dp[j]*(dp[j]-1) p+=dp[j]*(dp[j]-1) else: ans+=dp[i]*dp[j] p+=dp[i]*dp[j] j+=1 mp[i]=p # print(mp) return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: counts = Counter(ages) requests = 0 conditions = [ lambda ageA, ageB: 0.5 * ageA + 7 >= ageB, lambda ageA, ageB: ageA < ageB ] def canSendRequest(ageA, ageB): return not any(condition(ageA, ageB) for condition in conditions) for ageA, countA in counts.items(): for ageB, countB in counts.items(): if canSendRequest(ageA, ageB): if ageA == ageB: requests += countA * (countA - 1) else: requests += countA * countB return requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: counts = Counter(ages) requests = 0 conditions = [ lambda ageA, ageB: 0.5 * ageA + 7 >= ageB, lambda ageA, ageB: ageA < ageB ] def canSendRequest(ageA, ageB): # if any condition is True, then we can't request friend return not any(condition(ageA, ageB) for condition in conditions) for ageA, countA in counts.items(): for ageB, countB in counts.items(): if canSendRequest(ageA, ageB): if ageA == ageB: requests += countA * (countA - 1) else: requests += countA * countB return requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: counts = Counter(ages) requests = 0 conditions = [ lambda ageA, ageB: 0.5 * ageA + 7 >= ageB, lambda ageA, ageB: ageA < ageB ] def canRequestFriend(ageA, ageB): return not any(condition(ageA, ageB) for condition in conditions) for ageA, countA in list(counts.items()): for ageB, countB in list(counts.items()): if canRequestFriend(ageA, ageB): if ageA == ageB: requests += countA * (countA - 1) else: requests += countA * countB return requests
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: #problem: https://leetcode.com/problems/friends-of-appropriate-ages/ # refered the solution in : https://leetcode.com/problems/friends-of-appropriate-ages/discuss/837786/Binary-Search-beating-100-with-detail-explanation def numFriendRequests(self, ages: List[int]) -> int: ages.sort() right_most = {} for ix,x in enumerate(ages): right_most[x] = ix l = 0 count = 0 for ix,x in enumerate(ages): while ages[l]<= (x/2 + 7) and l<right_most[x]: l+=1 count+= right_most[x] - l return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = collections.Counter(ages) #print(count) ans = 0 for ageA in count: for ageB in count: countA = count[ageA] countB = count[ageB] if ageB <= ageA*0.5 + 7: continue if ageA < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_count = Counter(ages) distinct_ages = set(age_count.keys()) total_req = 0 for a_age in distinct_ages: a_frn_req = 0 for b_age in distinct_ages: if b_age > a_age or (a_age < 100 < b_age) or b_age <= (0.5 * a_age + 7): continue a_frn_req += age_count[a_age] * age_count[b_age] if a_age == b_age: a_frn_req -= age_count[a_age] total_req += a_frn_req return total_req
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: counts = collections.Counter(ages) valid = lambda A, B: not any([A *.5 + 7 >= B, A < B, A < 100 < B]) count = 0 items = list(counts.items()) for A, cntA in items: for B, cntB in items: if valid(A, B): count += cntA * cntB if A == B: count -= cntA return count
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_count = [0] * 121 for age in ages: age_count[age] += 1 res = 0 print(len(age_count)) for i in range(121): for j in range(121): if age_count[i] > 0 and age_count[j] > 0: if j <= 0.5 * i + 7 or j > i: continue res += age_count[i] * age_count[j] if i == j: res -= age_count[i] # One doesn't send request to himself return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = [0] * 121 for age in ages: count[age] += 1 answer = 0 for age_a, count_a in enumerate(count): for age_b, count_b in enumerate(count): if age_a * 0.5 + 7 >= age_b: continue if age_a < age_b: continue if age_a < 100 < age_b: continue answer += count_a * count_b if age_a == age_b: answer -= count_a return answer
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: agesCount = [0]*121 for age in ages: agesCount[age] += 1 res = 0 for i in range(1, 121): for j in range(1, 121): if agesCount[i] == 0 or agesCount[j] == 0 or j > i or (j > 100 and i < 100) or (j <= i/2 + 7): continue res += agesCount[i]*agesCount[j] if i == j: res -= agesCount[i] #because I can't send request to myself return res
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: count = collections.Counter(ages) print(count) ans = 0 for ageA in count: for ageB in count: countA = count[ageA] countB = count[ageB] if ageB <= ageA*0.5 + 7: continue if ageA < ageB: continue ans += countA * countB if ageA == ageB: ans -= countA return ans
Some people will make friend requests. The list of their ages is given and ages[i] is the age of the ith person.  Person A will NOT friend request person B (B != A) if any of the following conditions are true: age[B] <= 0.5 * age[A] + 7 age[B] > age[A] age[B] > 100 && age[A] < 100 Otherwise, A will friend request B. Note that if A requests B, B does not necessarily request A.  Also, people will not friend request themselves. How many total friend requests are made? Example 1: Input: [16,16] Output: 2 Explanation: 2 people friend request each other. Example 2: Input: [16,17,18] Output: 2 Explanation: Friend requests are made 17 -> 16, 18 -> 17. Example 3: Input: [20,30,100,110,120] Output: 3 Explanation: Friend requests are made 110 -> 100, 120 -> 110, 120 -> 100.   Notes: 1 <= ages.length <= 20000. 1 <= ages[i] <= 120.
class Solution: def numFriendRequests(self, ages: List[int]) -> int: age_library = {} for age in ages: age_library[age] = age_library.get(age, 0) + 1 res = 0 for A, numA in list(age_library.items()): for B, numB in list(age_library.items()): if not (B <=0.5*A + 7 or B > A or (B > 100 and A < 100)): res += numA * numB - numA*(A == B) return res