题目传送
题意:
给你一个点A(n,0),现在要求你找到一个整数x,使得abs(x - (abs(n-x)) == k,给出n和k,现在你可以进行操作n+1,或者n-1多次,问最少多少次操作使得有非负整数x的存在
【codeforces|Codeforces Round #665 (Div. 2) A. Distance and Axis(思维,数学)】思路:
1.当n都小于k的时候,那么在n前面找一个点使得上述等式成立那是必不可能的,所以我们只有将n一直加到k,然后x选择0即可
2.当n大于x的时候,有等式x - (n-x) == k,(因为是对称的,所以这里我们直接假设x大于(n-k))那么化简得到x = (k+n)/2,要x为整数,当(k+n)%2== 0时不需要操作,当不为0时,只需要将n+1或者n-1一次即可
AC代码
#include
inline int read(){char c = getchar();
int x = 0,s = 1;
while(c < '0' || c > '9') {if(c == '-') s = -1;
c = getchar();
}
while(c >= '0' && c <= '9') {x = x*10 + c -'0';
c = getchar();
}
return x*s;
}
using namespace std;
#define NewNode (TreeNode *)malloc(sizeof(TreeNode))
#define Mem(a,b) memset(a,b,sizeof(a))
#define lowbit(x) (x)&(-x)
const int N = 1e6 + 5;
const long long INFINF = 0x7f7f7f7f7f7f7f;
const int INF = 0x3f3f3f3f;
const double EPS = 1e-7;
const int mod = 998244353;
const double II = acos(-1);
const double PP = (II*1.0)/(180.00);
typedef long long ll;
typedef unsigned long long ull;
typedef pair pii;
typedef pair piil;
signed main()
{
std::ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
//freopen("input.txt","r",stdin);
//freopen("output.txt","w",stdout);
int t;
cin >> t;
while(t--)
{
ll n,k;
cin >> n >> k;
if(n <= k) cout << k-n << endl;
else if((n+k) % 2 == 0) cout << 0 << endl;
else cout << 1 << endl;
}
}
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