# Minimize the total number of teddies to be distributed in C++

C++Server Side ProgrammingProgramming

## Problem statement

Given N number of students and an array which represent the mark obtained by students. School has dicided to give them teddy as a price. Hoever, school wants to save money, so they to minimize the total number of teddies to be distrubuted by imposing following constrain −

• All students must get atleast one teddy
• If two students are sitting next to each other then student with the higher marks must get more
• If two students have same marks then they are allowed to get different number of teddies

## Example

Let us suppose there are 3 students and marks obtained are represented in array as −

arr[] = {2, 3, 3}
So, total number of teddies to be distributed:
{1, 2, 1} i.e. 4 teddies

## Algorithm

This problem can be solved using dynamic programming as follows −

1. Create a table of size N and initialize it with 1 as each student must get atleast one teddy
2. Iterate over marks array and perform below step:
a. If current student has more marks than previous student then:
i. Get the number of teddies given to the previous student
ii. Increment teddie count by 1
b. If current student has lesser marks than previous student then:
i. Review and change all the values assigned earlier

## Example

#include <iostream>
#include <algorithm>
#define SIZE(arr) (sizeof(arr) / sizeof(arr[0]))
using namespace std;
int teddieDistribution(int *marks, int n) {
int table[n];
fill(table, table + n, 1);
for (int i = 0; i < n - 1; ++i) {
if (marks[i + 1] > marks[i]) {
table[i + 1] = table[i] + 1;
} else if (marks[i] > marks[i + 1]) {
int temp = i;
while (true) {
if (temp >= 0 && (marks[temp] >
marks[temp + 1])) {
if (table[temp] >
table[temp + 1]) {
--temp;
continue;
} else {
table[temp] =
table[temp + 1] + 1;
--temp;
}
} else {
break;
}
}
}
}
int totalTeddies = 0;
for (int i = 0; i < n; ++i) {
totalTeddies += table[i];
}
}
int main() {
int marks[] = {2, 6, 5, 2, 3, 7};
int totalTeddies = teddieDistribution(marks,
SIZE(marks));
cout << "Total teddies to be distributed: " <<
totalTeddies << "\n";
return 0;
}

## Output

When you compile and execute above program. It generates following output −

Total teddies to be distributed: 12
Published on 22-Oct-2019 15:50:29