Given a range [L, R], the task is to find the count of numbers from this range that satisfy the below conditions:
- All the digit in the number are distinct.
- All the digits are less than or equal to 5.
Input: L = 4, R = 13
4, 5, 10, 12 and 13 are the only
valid numbers in the range [4, 13].
Input: L = 100, R = 1000
Approach: The question seems simple if the range is small because in that case, all the numbers from the range can be iterated and checked whether they are valid or not. But since the range could be large, it can be observed all the digits of a valid number has to be distinct and from the range [0, 5] which suggests that the maximum number cannot exceed 543210.
Now instead of checking for every number, the next valid number in the series can be generated from the previously generated numbers. The idea is similar to the approach discussed here.
Below is the implementation of the above approach:
- Count all possible N digit numbers that satisfy the given condition
- Count valid pairs in the array satisfying given conditions
- Maximum possible Bitwise OR of the two numbers from the range [L, R]
- Count of Binary Digit numbers smaller than N
- Count set bits in the Kth number after segregating even and odd from N natural numbers
- Find n positive integers that satisfy the given equations
- Generate an array of size K which satisfies the given conditions
- Minimum initial vertices to traverse whole matrix with given conditions
- Rearrange numbers in an array such that no two adjacent numbers are same
- Value in a given range with maximum XOR
- Find Range Value of the Expression
- All possible co-prime distinct element pairs within a range [L, R]
- Greatest divisor which divides all natural number in range [L, R]
- Find if a crest is present in the index range [L, R] of the given array
- Dial's Algorithm (Optimized Dijkstra for small range weights)
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