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Sign Moves.cpp
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/*
Solution by Rahul Surana
***********************************************************
Initially, Chef is at coordinate 0 on X-axis. For each i=1,2,…,N in order, Chef does the following:
If Chef is at a non-negative coordinate, he moves i steps backward (i.e, his position's coordinate decreases by i), otherwise he moves i steps forward (i.e, his position's coordinate increases by i).
You are given the integer N. Find the final position of Chef on the X-axis after N operations.
Input Format
The first line of input contains an integer T, denoting the number of test cases. The T test cases then follow:
The first and only line of each test case contains an integer N.
Output Format
For each test case, output in a single line the final position of Chef on the X-axis after N operations.
***********************************************************
*/
#include <bits/stdc++.h>
#define ll long long
#define vl vector<ll>
#define vi vector<int>
#define pi pair<int,int>
#define pl pair<ll,ll>
#define all(a) a.begin(),a.end()
#define mem(a,x) memset(a,x,sizeof(a))
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define FOR(i,a) for(int i = 0; i < a; i++)
#define trace(x) cerr<<#x<<" : "<<x<<endl;
#define trace2(x,y) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<endl;
#define trace3(x,y,z) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<" | "<<#z<<" : "<<z<<endl;
#define fast_io std::ios::sync_with_stdio(false),cin.tie(NULL),cout.tie(NULL)
using namespace std;
vector<int> dp;
int main()
{
fast_io;
int t;
cin >> t;
// ll x = 0;
// ll z = 1;
while(t--) {
int n;
cin >> n;
ll ans = n/2 + n%2 ;
if(n%2) ans*=-1;
cout << ans <<"\n";
// cout << ans <<"\n";
}
}