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How to find the maximum sum of a subsequence?
Given an array of positive numbers, find the maximum sum of a subsequence with the constraint that no 2 numbers in the sequence should be adjacent in the array. So 3 2 7 10 should return 13 (sum of 3 and 10) or 3 2 5 10 7 should return 15 (sum of 3, 5 and 7).Answer the question in most efficient way.
How does adding 7 to a number reduce the sum of digits?
Likewise adding 7 to a digit reduces it by 3 and adds 1 to the digit in the next place, a net reduction in the sum of digits of 2. Thus when 7 is added to 7 the sum of digits is reduced to 5. When 7 is added to 5 the sum of digits is reduced to 3.
Which is the sequence for a multiple digit number m?
Going back to the above table, what is immediately suggested by the information presented there is that the sequence for a multiple digit number m is the sequence for the sum of the digits of m, the digit sum of m. For example, the sequence for 12 is the same as the sequence for 1+2=3.
How many subsequences are there for 3 and 6?
This of course also holds true for 10. The sequences for 3 and 6 are composed of the subsequences {3,6,9} and {6,3,9}, respectively. Thus the sequences for these digits have three copies of the subsequences of length 3. The sequence for 9 is nine copies of a subsequence of length 1.
What is maximum of minimum difference of pairs from subsequences?
Subsequence of size B with minimum difference of mid (= 4) is not possible. Therefore, ans is still 2. Subsequence of size B with minimum difference of mid (= 3) is not possible. Therefore, ans is still 2. Again, traverse left half.
What is the max sum excluding the current element?
Max sum excluding the current element will be max (incl, excl) and max sum including the current element will be excl + current element (Note that only excl is considered because elements cannot be adjacent). At the end of the loop return max of incl and excl.
What should the sum of 3 and 10 be?
So 3 2 7 10 should return 13 (sum of 3 and 10) or 3 2 5 10 7 should return 15 (sum of 3, 5 and 7).Answer the question in most efficient way. Recommended: Please solve it on “ PRACTICE ” first, before moving on to the solution.
How to minimize the sum of two numbers?
Since we want to minimize the sum of two numbers to be formed, we must divide all digits in two halves and assign half-half digits to them. We also need to make sure that the leading digits are smaller.