18002 Z-Scan

时间限制:1000MS  内存限制:65535K
提交次数:0 通过次数:0

题型: 编程题   语言: 不限定

Description

Z-Scan is a method to scan data in a square matrix(矩阵). Fig.1 shows Z-Scan. Here, the number stands for
the scan sequence number of the element.

Our question is very simple. Given the size (n * n) of the square matrix and the row and column of the matrix element,
could you tell me the scan sequence number of the element?

输入格式

The first line is an integer N, the number of cases, 1<=N<=10
N lines follow. Each line contains 3 integers(n r c), The "n" stands for a square matrix in size of n * n.
The "r" is the row of the element. The "c" is the column of the element.  1 <= r, c <= n <= 100 

输出格式

For each case, output the scan sequence number of the element.

输入样例

3
5 1 2
5 4 5
99 99 99

输出样例

2
23
9801

来源

Mr. Chen

作者

admin

模拟题打表，模拟的时候用dfs模拟

注意到只有两种方向，

一种是x + 1, y - 1

一种是x - 1, y + 1

其他那些向下和向左，是作为边界来处理的。

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <algorithm>
#define IOS ios::sync_with_stdio(false)
using namespace std;
#define inf (0x3f3f3f3f)
typedef long long int LL;

#include <iostream>
#include <sstream>
#include <vector>
#include <set>
#include <map>
#include <queue>
#include <string>
int n, r, c;
const int maxn = 1e2 + 20;
int a[maxn][maxn];
int tonext[2][2] = {{1, -1}, {-1, 1}};
void dfs(int num, int x, int y, int now) {
    a[x][y] = num;
    if (x == n && y == n) return;
    if (now == 0) { //减y的
        if (y == 1 && x != n) {
            dfs(num + 1, x + 1, y, !now);
        } else if (x == n) {
            dfs(num + 1, x, y + 1, !now);
        } else {
            dfs(num + 1, x + tonext[now][0], y + tonext[now][1], now);
        }
    } else { //减x的
        if (x == 1 && y != n) {
            dfs(num + 1, x, y + 1, !now);
        } else if (y == n) {
            dfs(num + 1, x + 1, y, !now);
        } else {
            dfs(num + 1, x + tonext[now][0], y + tonext[now][1], now);
        }
    }
}
void work() {
    scanf("%d%d%d", &n, &r, &c);
    a[1][1] = 1;
    dfs(2, 1, 2, 0);
//    for (int i = 1; i <= n; ++i) {
//        for (int j = 1; j <= n; ++j) {
//            printf("%d ", a[i][j]);
//        }
//        printf("\n");
//    }
    printf("%d\n", a[r][c]);
}

int main() {
#ifdef local
    freopen("data.txt","r",stdin);
#endif
    int t;
    scanf("%d", &t);
    while (t--) work();
    return 0;
}