Codeforces C. Board Moves (思维) (Round #642 Div.3)

    技术2025-03-22  44

    传送门

    题意: 现有一个n * n(n为奇数)的方格木板,每个方格都有一个图案,先将 n ^ 2个图案全部移动到1个方格内,移动方式是可向四周共享边角的8个方向方格移动。试问移动的最小步数是多少? 思路:

    稍微想想就知道应该选最中间的空格存放,那么整个木板剩下的空格就可被平均分成四个(n / 2) * (n / 2 + 1)的矩形。即(n / 2 + 1,n / 2 + 1)为目标方格,在左上角的小矩形中,以最左上角为原点,从1 ~ (n / 2 + 1)间第i层距目标点x - i步。

    代码实现:

    #include <cstdio> #include <cstring> #include <cmath> #include <cstdlib> #include <ctime> #include <cctype> #include <cstring> #include <iostream> #include <sstream> #include <string> #include <list> #include <vector> #include <set> #include <map> #include <queue> #include <stack> #include <algorithm> #include <functional> #define endl '\n' #define null NULL #define ll long long #define int long long #define pii pair<int, int> #define lowbit(x) (x &(-x)) #define ls(x) x<<1 #define rs(x) (x<<1+1) #define me(ar) memset(ar, 0, sizeof ar) #define mem(ar,num) memset(ar, num, sizeof ar) #define rp(i, n) for(int i = 0, i < n; i ++) #define rep(i, a, n) for(int i = a; i <= n; i ++) #define pre(i, n, a) for(int i = n; i >= a; i --) #define IOS ios::sync_with_stdio(0); cin.tie(0);cout.tie(0); const int way[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}}; using namespace std; const int inf = 0x7fffffff; const double Pi = acos(-1.0); const double eps = 1e-6; const ll mod = 1e9 + 7; const int N = 2e5 + 5; int t, n; signed main() { IOS; cin >> t; while(t --){ cin >> n; int ans = 0; int x = n / 2 + 1; int y = x; for(int i = 1; i < x; i ++) ans += 2 * (x - i) * (x - i); ans *= 4; cout << ans << endl; } return 0; }
    Processed: 0.011, SQL: 9