#include <stdio.h>
#include <math.h>

#define N 4

//int search(int board[N][N], int min, int limit, int r_0, int c_0, char mv);

int search(int board[N][N], int min, int limit, int r_0, int c_0, char mv){

  int md_c[4];
  int op[4], num[4];
  int res[4];
  int i;
  char dir[5] = "nswe";

  if (min == 0) return 0;

  for (i = 0; i < 4; i++) {
    md_c[i] = min;
    res[i] = -1;
  }

  op[0] = r_0-1;
  op[1] = r_0+1;
  op[2] = c_0-1;
  op[3] = c_0+1;

  if (op[0] >= 0) {
    if (mv != 's') {
      num[0] = board[op[0]][c_0];
      md_c[0] -= (int)fabs((num[0]-1)/N - op[0]);
      md_c[0] += (int)fabs((num[0]-1)/N - r_0);
    }
  }

  if (op[1] <= N-1) {
    if (mv != 'n') {
      num[1] = board[op[1]][c_0];
      md_c[1] -= (int)fabs((num[1]-1)/N - op[1]);
      md_c[1] += (int)fabs((num[1]-1)/N - r_0);
    }
  }

  if (op[2] >= 0) {
    if (mv != 'e') {
      num[2] = board[r_0][op[2]];
      md_c[2] -= (int)fabs((num[2]-1)%N - op[2]);
      md_c[2] += (int)fabs((num[2]-1)%N - c_0);
    }
  }

  if (op[3] <= N-1) {
    if (mv != 'w') {
      num[3] = board[r_0][op[3]];
      md_c[3] -= (int)fabs((num[3]-1)%N - op[3]);
      md_c[3] += (int)fabs((num[3]-1)%N - c_0);
    }
  }

  for (i=0; i<4; i++) {
    if (md_c[i] - min == -1) {
      if (i / 2 == 0) {
        board[op[i]][c_0] = 0;
        board[r_0][c_0] = num[i];
        res[i] = search(board, md_c[i], limit-1, op[i], c_0, dir[i]);
    if (res[i] == -1) {
      board[op[i]][c_0] = num[i];
      board[r_0][c_0] = 0;
    } else res[i]++;
      } else {
        board[r_0][op[i]] = 0;
        board[r_0][c_0] = num[i];
        res[i] = search(board, md_c[i], limit-1, r_0, op[i], dir[i]);
        if (res[i] == -1) {
          board[r_0][op[i]] = num[i];
          board[r_0][c_0] = 0;
        } else res[i]++;
      }
    }
    if (res[i] != -1) break;
  }

  for (i=0; i<4; i++) {
    if (md_c[i] - min == 1) {
      if (md_c[i] <= limit - 1) {
        if (i / 2 == 0) {
          board[op[i]][c_0] = 0;
          board[r_0][c_0] = num[i];
          res[i] = search(board, md_c[i], limit-1, op[i], c_0, dir[i]);
          if (res[i] == -1) {
            board[op[i]][c_0] = num[i];
            board[r_0][c_0] = 0;
          } else res[i]++;
        } else {
          board[r_0][op[i]] = 0;
          board[r_0][c_0] = num[i];
          res[i] = search(board, md_c[i], limit-1, r_0, op[i], dir[i]);
          if (res[i] == -1) {
            board[r_0][op[i]] = num[i];
            board[r_0][c_0] = 0;
          } else res[i]++;
        }
      } else res[i] = -1;
    }
  }
  if (res[0] == -1 && res[1] == -1 && res[2] == -1 && res[3] == -1) return -1;
  else if (res[0] != -1) return res[0];
  else if (res[1] != -1) return res[1];
  else if (res[2] != -1) return res[2];
  else return res[3];
}


int main(int argc, char *argv[]){

  int board[N][N];
  int md;
  int i, j, r, c, r_0, c_0, found;
  int res;

  for (i=0; i<N; i++) {
    for (j=0; j<N; j++) scanf("%d", &board[i][j]);
  }

  md = 0;
  for (i=0; i<N*N; i++) {
    found = 0;
    for (r=0; r<N; r++) {
      for (c=0; c<N; c++) {
        if (board[r][c] == i) {
          if (i == 0) {
            r_0 = r;
            c_0 = c;
          } else md += (int)fabs((i-1)/N - r) + (int)fabs((i-1)%N - c);
          found = 1;
          break;
        }
      }
      if (found == 1) break;
    }
  }

  for (i=0; ; i+=2) {
    if ((r_0 + c_0) % 2 == 0) {
      if (md % 2 == 0) res = search(board, md, md+i, r_0, c_0, 'c');
      else res = search(board, md, md+i+1, r_0, c_0, 'c');
      } else {
        if (md % 2 == 0) res = search(board, md, md+i+1, r_0, c_0, 'c');
        else res = search(board, md, md+i, r_0, c_0, 'c');
      }

    if (res != -1) break;
  }

  printf("%d\n", res);

  return 0;
}

Measured memory_bytes: 2732