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最新推荐文章于 2014-11-21 23:45:04 发布

weixin_33909059

最新推荐文章于 2014-11-21 23:45:04 发布

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原文链接：https://my.oschina.net/mustang/blog/55920

2019独角兽企业重金招聘Python工程师标准>>>

智力题, 跟曼哈顿距离的奇偶性有关。

国际象棋棋盘上, 假设从一个黑色格子出发，要经过若干步走到某个白色格子（每步只能上下左右4个方向之一），步数肯定是奇数。

#include <cstdio>
#include <vector>

using namespace std;



int N;

//===========================================================


//移除一层
void moveAndRemove(int moves, int start, int len) {
  int i;
  int a = start, b = a + len - 1;
  int c = b + N * (len - 1), d = a + N * (len - 1);

  printf("%d", moves);
  moves += 2;
  for (i = a; i <= b; i += 2) printf(" %d", i);
  for (i = d; i <= c; i += 2) printf(" %d", i);
  for (i = a + 2 * N; i < d; i += 2 * N) printf(" %d", i);
  for (i = b + 2 * N; i < c; i += 2 * N) printf(" %d", i);
  printf("\n");

  printf("%d", moves);
  moves += 2;

  for (i = a + 1; i < b; i += 2) printf(" %d", i);
  for (i = d + 1; i < c; i += 2) printf(" %d", i);
  for (i = a + N; i < d; i += 2 * N) printf(" %d", i);
  for (i = b + N; i < c; i += 2 * N) printf(" %d", i);
  printf("\n");

  // start = start + 1 + N;
  // len = len - 2;
}

void handleInCaseOfEvenN(int moves, int len) {
  printf("%d", moves);
  moves += 2;

  int a = 1;
  int b = 1 + len - 1;
  int c = 1 + N * (len - 1);

  int i;
  for (i = a; i < b; i += 2) printf(" %d", i);
  for (i = a + 2 * N; i < c; i += 2 * N) printf(" %d", i);
  printf("\n");

  printf("%d", moves);
  moves += 2;

  for (i = a + 1; i <= b; i += 2) printf(" %d", i);
  for (i = a + N; i <= c; i += 2 * N) printf(" %d", i);
  printf("\n");

}



int main() {
  int moves;
  int len;
  int start;
  scanf("%d", &N);

  if (N == 2) {
    printf("3 1\n");
    printf("5 2\n");
    printf("7 4\n");
    return 0;
  }


  if (N % 2 == 0) {
    moves = N + 1;
    handleInCaseOfEvenN(moves, N);
    moves += 4;

    len = N - 1;
    start = 1 + 1 + N;

    while(1) {
      moveAndRemove(moves, start, len);
      moves += 4;
      start = start + 1 + N;
      len = len - 2;
      if (len == 1) break;
    }

  } else {
    moves = N;
    len = N;
    start = 1;

    while(1) {
      moveAndRemove(moves, start, len);
      moves += 4;
      start = start + 1 + N;
      len = len - 2;
      if (len == 1) break;
    }
  }


  return 0;
}

转载于:https://my.oschina.net/mustang/blog/55920