// 1760. Minimum Limit of Balls in a Bag #include #include /* * given an integer array 'nums' where the i'th bag contains * 'nums[i]' balls. also given an integer 'max_operations'. * you can perform the following operation at most 'max_operations' * times; take any bag of balls and divide it into two new bags * with a positive number of balls. the penalty is the maximum * number of balls in a bag. you want to minimise your penalty * after the operations. return the minimum possible penalty. */ bool work(int *nums, int nums_size, int operation, int min) { for (int i = 0; i < nums_size && operation >= 0; i++) operation -= (nums[i] - 1) / min; return operation >= 0; } int minimumSize(int *nums, int nums_size, int max_operations) { int i = 1, j = 1000000000, k; bool can; while (i < j) { k = (i + j) / 2; can = work(nums, nums_size, max_operations, k); if (can) j = k; else i = k + 1; } return j; } int main() { int n1[] = {9}, n2[] = {2, 4, 8, 2}; printf("%d\n", minimumSize(n1, 1, 2)); // expect: 3 printf("%d\n", minimumSize(n2, 4, 4)); // expect: 2 }