Algorithm
Vanya got n cubes. He decided to build a pyramid from them. Vanya wants to build the pyramid as follows: the top level of the pyramid must consist of 1 cube, the second level must consist of 1 + 2 = 3 cubes, the third level must have 1 + 2 + 3 = 6 cubes, and so on. Thus, the i-th level of the pyramid must have 1 + 2 + ... + (i - 1) + i cubes.
Vanya wants to know what is the maximum height of the pyramid that he can make using the given cubes.
The first line contains integer n (1 ≤ n ≤ 104) — the number of cubes given to Vanya.
Print the maximum possible height of the pyramid in the single line.
1
1
25
4
Illustration to the second sample:
Code Examples
#1 Code Example with C++ Programming
Code -
C++ Programming
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define endl '\n'
#define debug(n) cout<<(n)<<endl;
const ll INF = 2e18 + 99;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n;
cin>>n;
int count = 0;
int pre = 0;
int i = 1;
while(n >= pre + i){
count++;
n -= pre + i;
pre = pre + i;
i++;
}
cout<<count<<endl;
}
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Input
Output
Demonstration
Codeforcess Solution 492-A A. Vanya and Cubes ,C++, Java, Js and Python,492-A,Codeforcess Solution