在给定的网格中,每个像元可以具有以下三个值之一:

值0表示一个空单元格;
值1代表鲜橙色;
值2代表烂橙。
每分钟,与腐烂的橙子(4方向)相邻的任何新鲜的橙子都会变烂。

返回在没有任何单元格显示鲜橙色之前必须经过的最小分钟数。如果这不可能,则返回-1。

class Solution {
public:
    int orangesRotting(vector<vector<int>>& grid) {
        int m,n;
       m = grid.size();
        n = grid[0].size();

        int i, j, min = 0,flag=0,fresh=0;

        int r[4] = {-1,1,0,0};
        int c[4] = {0,0,-1,1};
        for(i=0;i<m;i++) {
            for(j=0;j<n;j++) {
                if(grid[i][j]==1)
                    fresh++;
            }
        }
        queue< pair<int, int> >q;
        for(i=0;i<m;i++) {
            for(j=0;j<n;j++) {
                if(grid[i][j] == 2) {
                    q.push(make_pair(i,j));
                    flag=1;
                    break;
                }
            }
            if(flag==1)
                break;
        }
        while(!q.empty()) {

            pair<int,int> p = q.front();
            int a = p.first;
            int b = p.second;
          int x=0;
            q.pop();
            for(i=0;i<4;i++) {
                for(j=0;j<4;j++) {
                    int rr = a + r[i];
                    int cc = b + c[j];
                    if(rr<0 || cc<0 || rr>=m || cc>=n || grid[rr][cc]==0 || grid[rr][cc] ==2) {
                        continue;
                    }
                    else if(grid[rr][cc] ==1) {
                         grid[rr][cc] =2;
                        q.push(make_pair(rr,cc));
                        fresh--;
                        x++;
                    }
                }
            }
     if(x>0) min++;
        }
     return fresh >0 ? -1:min;
    }
};


输入:[[2,1,1],[1,1,0],[0,1,1]]

输出3

预期:4

最佳答案

编辑1

您计算分钟数的方法是错误的,每当一个烂橘子至少将一个新鲜的橘子变成一个烂橘子时,就增加分钟数。因此,每分钟的结果分钟数还取决于您对烂橘子进行迭代的顺序,这是错误的。

橘子必须平行变烂,迭代到网格中的顺序必须不相关。

如果我在您的程序中添加每分钟的网格打印结果,则会得到:

t = 0
211
110
011

t = 1
221
220
011

t = 2
221
220
021

t = 3
222
220
022

t = 3
222
220
022

t = 3
222
220
022

t = 3
222
220
022


与我的案例比较



编辑2

从您的建议中更正的方式可以是:

#include <iostream>
#include <vector>
#include <queue>

using namespace std;

int orangesRotting(vector<vector<int>>& grid) {
  int m,n;
  m = grid.size();
  n = grid[0].size();

  int i, j, min = 0,flag=0,fresh=0;

  int r[4] = {-1,1,0,0};
  int c[4] = {0,0,-1,1};

  queue< pair<int, int>>q;

  for(i=0;i<m;i++) {
    for(j=0;j<n;j++) {
      if (grid[i][j] == 1)
        fresh++;
      else if (grid[i][j] == 2)
        q.push(make_pair(i,j));
    }
  }

  if (fresh == 0)
    return 0;

  if (q.empty())
    return -1;

  for (;;) {
#ifdef DEBUG
    cout << "t = " << min << endl;
    for(i=0;i<m;i++) {
      for(j=0;j<n;j++)
        cout << grid[i][j];
      cout << endl;
    }
    cout << endl;
#endif
    queue< pair<int, int>>qnext;
    while (!q.empty()) {
      pair<int,int> p = q.front();
      int a = p.first;
      int b = p.second;
      q.pop();
      for(i=0;i<4;i++) {
        for(j=0;j<4;j++) {
          int rr = a + r[i];
          int cc = b + c[j];

          if (!(rr<0 || cc<0 || rr>=m || cc>=n || grid[rr][cc]==0 || grid[rr][cc] ==2)
              && (grid[rr][cc] ==1)) {
            grid[rr][cc] = 2;
            qnext.push(make_pair(rr,cc));
            fresh--;
          }
        }
      }
    }
    min += 1;
    if (fresh == 0) {
#ifdef DEBUG
      cout << "t = " << min << endl;
      for(i=0;i<m;i++) {
        for(j=0;j<n;j++)
          cout << grid[i][j];
        cout << endl;
      }
      cout << endl;
#endif
      return min;
    }
    if (qnext.empty())
      return -1;
    q = qnext;
  }
}

int main()
{
  vector<vector<int> > grid;

  grid.resize(3);

  grid[0].push_back(2);
  grid[0].push_back(1);
  grid[0].push_back(1);

  grid[1].push_back(1);
  grid[1].push_back(1);
  grid[1].push_back(0);

  grid[2].push_back(0);
  grid[2].push_back(1);
  grid[2].push_back(1);

  cout << orangesRotting(grid) << endl;
}


编译与执行:

/tmp % g++ -DDEBUG oo.cc
/tmp % ./a.out
t = 0
211
110
011

t = 1
221
220
011

t = 2
222
220
022

2


请注意,这种方法比下面的方法更有效,因为每个烂橙只考虑一次



所需时间取决于以下事实:是否考虑到对角线在烂橙周围也使新鲜的橙烂。

在我的实现中,我使用预处理器变量DIAG来考虑或不考虑对角线,并使用DEBUG每分钟打印或不打印网格:

#include <iostream>
#include <vector>

using namespace std;

enum State { Empty, Fresh, Rotten };

// I do not see the interest of the class so I removed it
// I do not want to modify the input vector so I get it by value

int orangesRotting(vector<vector<State>> grid)
{
  int nmins = 0;
  const size_t height = grid.size();

  if (height == 0)
    return -1;

  const size_t width = grid[0].size(); // suppose same size for all sub vectors

  if (width == 0)
    return -1;

  // the grid for the next min, do not work on the
  // current grid to not see the cells becoming rotten
  // in the current step, changes are done simultaneously
  vector<vector<State>> nextGrid = grid;

  for (;;) {
#ifdef DEBUG
    cout << "t = " << nmins << endl;
#endif

    bool modified = false;
    int nWasFresh = 0;

    for (size_t i = 0; i != height; ++i) {
      vector<State> & v = grid[i];

      for (size_t j = 0; j != width; ++j) {
#ifdef DEBUG
        cout << v[j];
#endif
        switch (v[j]) {
        case Rotten:
          {
            // make fresh cells around rotten
#ifdef DIAG
            const size_t maxh = min(i + 1, height - 1);
            const size_t minw = (j == 0) ? j : j - 1;
            const size_t maxw = min(j + 1, width - 1);

            for (size_t a = (i == 0) ? i : i - 1; a <= maxh; ++a) {
              vector<State> & v = grid[a];

              for (size_t b = minw; b <= maxw; ++b) {
                if (v[b] == Fresh) {
                  modified = true;
                  nextGrid[a][b] = Rotten;
                }
              }
            }
#else
            if ((i != 0) && (grid[i-1][j] == Fresh)) {
              modified = true;
              nextGrid[i-1][j] = Rotten;
            }
            if ((i != (height-1)) && (grid[i+1][j] == Fresh)) {
              modified = true;
              nextGrid[i+1][j] = Rotten;
            }
            if ((j != 0) && (grid[i][j-1] == Fresh)) {
              modified = true;
              nextGrid[i][j-1] = Rotten;
            }
            if ((j != (width-1)) && (grid[i][j+1] == Fresh)) {
              modified = true;
              nextGrid[i][j+1] = Rotten;
            }
#endif
          }
          break;
        case Fresh:
          nWasFresh += 1;
          break;
        default:
          break;
        }
      }
#ifdef DEBUG
      cout << endl;
#endif
    }
#ifdef DEBUG
    cout << endl;
#endif

    if (nWasFresh == 0)
      return nmins;

    if (!modified)
      return -1;

    // update grid and time
    grid = nextGrid;
    nmins += 1;
  }
}

int main()
{
  vector<vector<State>> grid;

  grid.resize(3);

  grid[0].push_back(Rotten);
  grid[0].push_back(Fresh);
  grid[0].push_back(Fresh);

  grid[1].push_back(Fresh);
  grid[1].push_back(Fresh);
  grid[1].push_back(Empty);

  grid[2].push_back(Empty);
  grid[2].push_back(Fresh);
  grid[2].push_back(Fresh);

  cout << orangesRotting(grid) << endl;
}


考虑对角线的编译和执行:

pi@raspberrypi:/tmp $ g++ -DDEBUG -DDIAG -pedantic -Wextra -Wall o.cc
pi@raspberrypi:/tmp $ ./a.out
t = 0
211
110
011

t = 1
221
220
011

t = 2
222
220
022

2


编译和执行时不考虑对角线:

pi@raspberrypi:/tmp $ g++ -DDEBUG -pedantic -Wextra -Wall o.cc
pi@raspberrypi:/tmp $ ./a.out
t = 0
211
110
011

t = 1
221
210
011

t = 2
222
220
011

t = 3
222
220
021

t = 4
222
220
022

4

10-08 12:02