Given an integer N, the task is to find the minimum count of numbers ending with 7 such that the sum of these numbers is N.
Input: N = 38
7 + 7 + 7 + 17
Input: N = 46
46 cannot be represented as the sum
of integers ending with 7.
Input: N = 215
7 + 7 + 7 + 7 + 187
- First observation here is that every number greater than or equal to 70 can always be written as the sum of numbers all ending with 7. For example, for 82 the last digit is 2, so at least 6 numbers ending with 7 are required i.e. (7 * 6 = 42). An array hasharr can be created where hasharr[i] represents the minimum number of numbers required having the last digit as 7 so the resultant sum has the last digit as i.
- If the number is less than 70 then N has to be checked whether it is less than the sum of the minimum number of numbers ending with digit seven 7. If it is then it is not possible and print -1, otherwise if it is greater or equal than it is possible.
Below is the implementation of the above approach:
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- Count of numbers in Array ending with digits of number N
- Minimum count of numbers required from given array to represent S
- Minimum count of numbers required with unit digit X that sums up to N
- Count the number of carry operations required to add two numbers
- Count of minimum reductions required to get the required sum K
- Minimum operations required to make two numbers equal
- Count minimum factor jumps required to reach the end of an Array
- Minimum number of distinct powers of 2 required to express a given binary number
- Minimum number of swaps required to make a number divisible by 60
- Sort numbers based on count of letters required to represent them in words
- Minimum number of given powers of 2 required to represent a number
- Minimum number of changes required to make the given array an AP
- Minimum number of primes required such that their sum is equal to N
- Minimum number of operations required to reduce N to 1
- Minimum number of given operation required to convert n to m
- Minimum number of palindromes required to express N as a sum | Set 2
- Minimum number of palindromes required to express N as a sum | Set 1
- Minimum number of integers required such that each Segment contains at least one of them
- Minimum number operations required to convert n to m | Set-2
- Count the number of operations required to reduce the given number
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