Making Candies
Problem Statement :
Karl loves playing games on social networking sites. His current favorite is CandyMaker, where the goal is to make candies. Karl just started a level in which he must accumulate candies starting with machines and workers. In a single pass, he can make candies. After each pass, he can decide whether to spend some of his candies to buy more machines or hire more workers. Buying a machine or hiring a worker costs units, and there is no limit to the number of machines he can own or workers he can employ. Karl wants to minimize the number of passes to obtain the required number of candies at the end of a day. Determine that number of passes. Function Description Complete the minimumPasses function in the editor below. The function must return a long integer representing the minimum number of passes required. minimumPasses has the following parameter(s): m: long integer, the starting number of machines w: long integer, the starting number of workers p: long integer, the cost of a new hire or a new machine n: long integer, the number of candies to produce Input Format A single line consisting of four space-separated integers describing the values of , , , and , the starting number of machines and workers, the cost of a new machine or a new hire, and the the number of candies Karl must accumulate to complete the level.
Solution :
Solution in C++ :
In C++ :
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
bool check(ll machines, ll workers, ll price, ll target, ll rounds) {
if (machines >= (target+workers-1)/workers) return true;
ll cur = machines*workers;
rounds--;
if (rounds == 0) return false;
while (1) {
ll rem = target - cur;
ll rnds = (rem + machines*workers - 1) / (machines*workers);
if (rnds <= rounds) return true;
if (cur < price) {
rem = price - cur;
rnds = (rem + machines*workers - 1) / (machines*workers);
rounds -= rnds;
if (rounds < 1) return false;
cur += rnds * machines * workers;
}
cur -= price;
if (machines > workers) {
workers++;
} else {
machines++;
}
}
return false;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
ll m, w, p, n;
cin >> m >> w >> p >> n;
ll a = 1, b = 1000000000000LL;
while (a < b) {
ll mid = (a + b) >> 1;
if (check(m, w, p, n, mid)) {
b = mid;
} else {
a = mid + 1;
}
}
cout << a << "\n";
return 0;
}
View More Similar Problems
Self Balancing Tree
An AVL tree (Georgy Adelson-Velsky and Landis' tree, named after the inventors) is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than one, rebalancing is done to restore this property. We define balance factor for each node as : balanceFactor = height(left subtree) - height(righ
View Solution →Array and simple queries
Given two numbers N and M. N indicates the number of elements in the array A[](1-indexed) and M indicates number of queries. You need to perform two types of queries on the array A[] . You are given queries. Queries can be of two types, type 1 and type 2. Type 1 queries are represented as 1 i j : Modify the given array by removing elements from i to j and adding them to the front. Ty
View Solution →Median Updates
The median M of numbers is defined as the middle number after sorting them in order if M is odd. Or it is the average of the middle two numbers if M is even. You start with an empty number list. Then, you can add numbers to the list, or remove existing numbers from it. After each add or remove operation, output the median. Input: The first line is an integer, N , that indicates the number o
View Solution →Maximum Element
You have an empty sequence, and you will be given N queries. Each query is one of these three types: 1 x -Push the element x into the stack. 2 -Delete the element present at the top of the stack. 3 -Print the maximum element in the stack. Input Format The first line of input contains an integer, N . The next N lines each contain an above mentioned query. (It is guaranteed that each
View Solution →Balanced Brackets
A bracket is considered to be any one of the following characters: (, ), {, }, [, or ]. Two brackets are considered to be a matched pair if the an opening bracket (i.e., (, [, or {) occurs to the left of a closing bracket (i.e., ), ], or }) of the exact same type. There are three types of matched pairs of brackets: [], {}, and (). A matching pair of brackets is not balanced if the set of bra
View Solution →Equal Stacks
ou have three stacks of cylinders where each cylinder has the same diameter, but they may vary in height. You can change the height of a stack by removing and discarding its topmost cylinder any number of times. Find the maximum possible height of the stacks such that all of the stacks are exactly the same height. This means you must remove zero or more cylinders from the top of zero or more of
View Solution →