/*
7 3
TTTTTTT
TGGGGGT
TGGGGGT
MGGGGGD
TGGGGGT
TGGGGGT
THHHHHT
1. Find shortest time it takes for the bees to reach every cell, and the shortest time it takes for Mecho to reach every cell (in minutes, take ceiling(steps it took for Mecho to get there (divided by) steps Mecho can take in a minute))
2. Binary search on the largest # of minutes that Mecho can eat honey for
*/
import java.util.*;
import java.io.*;
public class mecho{
public static int n;
public static long s;
public static char[][] grid; //'T' = tree, 'G' = grass, 'M' = mecho, 'H' = beehive, 'D' = mecho's house
//Neither bees or mecho can enter the tree cells
//Mecho can travel s steps in 1 minute --> can reach a certain cell in ceil(steps it took to get to that cell/s) minutes, bees travel every minute
//Given that Mecho waited for x minutes, Mecho can visit a cell iff mecho[x][y] + x < bee[x][y]
public static long max = 1000000000;
public static int denx;
public static int deny;
public static int mechox;
public static int mechoy;
public static long[][] bees;
public static long[][] mecho;
public static int[] xc = {0,0,1,-1};
public static int[] yc = {1,-1,0,0};
public static void main(String[] args) throws IOException{
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer details = new StringTokenizer(br.readLine());
n = Integer.parseInt(details.nextToken());
s = Long.parseLong(details.nextToken());
grid = new char[n][n];
bees = new long[n][n]; //bees[a][b] = min # of minutes it takes for a bee to reach cell a,b
for(long[] row : bees) Arrays.fill(row, max);
mecho = new long[n][n]; //mecho[a][b] = before division, min # of steps it takes for mecho to reach cell a,b, after division min # of minutes (ceiling)
for(long[] row : mecho) Arrays.fill(row, max);
ArrayDeque<State> bq = new ArrayDeque<State>(); //bee states
ArrayDeque<State> mq = new ArrayDeque<State>(); //mecho states
for(int a = 0; a < n; a++){
String row = br.readLine();
for(int b = 0; b < n; b++){
char cur = row.charAt(b);
if(cur == 'T') grid[a][b] = 'T'; //tree
else grid[a][b] = 'G'; //grass
if(cur == 'M'){
mq.add(new State(a,b,0));
mechox = a;
mechoy = b;
}
else if(cur == 'H') bq.add(new State(a,b,0));
else if(cur == 'D'){
denx = a;
deny = b;
}
}
}
while(!bq.isEmpty()){
State cur = bq.poll();
if(bees[cur.x][cur.y] == max){
bees[cur.x][cur.y] = cur.cost;
for(int a = 0; a < 4; a++){
int xcoor = xc[a] + cur.x;
int ycoor = yc[a] + cur.y;
if(xcoor < 0 || ycoor < 0 || xcoor >= n || ycoor >= n || grid[xcoor][ycoor] == 'T' || bees[xcoor][ycoor] != max) continue;
bq.add(new State(xcoor, ycoor, cur.cost + 1));
}
}
}
while(!mq.isEmpty()){
State cur = mq.poll();
if(mecho[cur.x][cur.y] == max){
mecho[cur.x][cur.y] = cur.cost/s;
for(int a = 0; a < 4; a++){
int xcoor = xc[a] + cur.x;
int ycoor = yc[a] + cur.y;
if(xcoor < 0 || ycoor < 0 || xcoor >= n || ycoor >= n || grid[xcoor][ycoor] == 'T' || mecho[xcoor][ycoor] != max) continue;
mq.add(new State(xcoor, ycoor, cur.cost + 1));
}
}
}
//for(long[] row : mecho) System.out.println(Arrays.toString(row));
//System.out.println("mecho ^ bees v");
//for(long[] row : bees) System.out.println(Arrays.toString(row));
long min = 0;
long max = n*n; //best case it takes the bees n*m time to reach Mecho/Mecho is able to evade the bees for n*m time
while(min < max){
long mid = (min + max + 1)/2;
//System.out.println(min + " " + mid + " " + max);
if(valid(mid)) min = mid;
else max = mid - 1; //want to maximize answer
}
if(min > 0 || valid(min)) System.out.println(min);
else System.out.println(-1);
br.close();
}
public static boolean valid(long x){
boolean[][] seen = new boolean[n][n];
ArrayDeque<Point> ad = new ArrayDeque<Point>();
ad.add(new Point(mechox, mechoy));
while(!ad.isEmpty()){
Point cur = ad.poll();
if(!seen[cur.x][cur.y]){
seen[cur.x][cur.y] = true;
for(int a = 0; a < 4; a++){
int xcoor = xc[a] + cur.x;
int ycoor = yc[a] + cur.y;
if(xcoor < 0 || ycoor < 0 || xcoor >= n || ycoor >= n || grid[xcoor][ycoor] == 'T' || mecho[xcoor][ycoor] + x >= bees[xcoor][ycoor]) continue;
ad.add(new Point(xcoor, ycoor));
}
}
}
return seen[denx][deny];
}
}
class Point{
int x;
int y;
public Point(int xc, int yc){
x = xc;
y = yc;
}
public String toString(){
return x + " " + y;
}
}
class State{
int x;
int y;
long cost;
public State(int xc, int yc, long c){
x = xc;
y = yc;
cost = c;
}
public String toString(){
return x + " " + y + " " + cost;
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
59 ms |
8528 KB |
Output is correct |
2 |
Incorrect |
60 ms |
8332 KB |
Output isn't correct |
3 |
Correct |
71 ms |
8296 KB |
Output is correct |
4 |
Incorrect |
64 ms |
8116 KB |
Output isn't correct |
5 |
Correct |
66 ms |
8252 KB |
Output is correct |
6 |
Incorrect |
60 ms |
8468 KB |
Output isn't correct |
7 |
Incorrect |
701 ms |
39072 KB |
Output isn't correct |
8 |
Correct |
59 ms |
8404 KB |
Output is correct |
9 |
Correct |
63 ms |
8372 KB |
Output is correct |
10 |
Correct |
61 ms |
8432 KB |
Output is correct |
11 |
Correct |
62 ms |
8352 KB |
Output is correct |
12 |
Incorrect |
70 ms |
8552 KB |
Output isn't correct |
13 |
Incorrect |
80 ms |
8636 KB |
Output isn't correct |
14 |
Correct |
118 ms |
11204 KB |
Output is correct |
15 |
Correct |
59 ms |
8416 KB |
Output is correct |
16 |
Correct |
65 ms |
8392 KB |
Output is correct |
17 |
Correct |
63 ms |
8280 KB |
Output is correct |
18 |
Correct |
70 ms |
8384 KB |
Output is correct |
19 |
Correct |
62 ms |
8368 KB |
Output is correct |
20 |
Correct |
65 ms |
8336 KB |
Output is correct |
21 |
Correct |
63 ms |
8452 KB |
Output is correct |
22 |
Correct |
64 ms |
8636 KB |
Output is correct |
23 |
Correct |
74 ms |
8576 KB |
Output is correct |
24 |
Correct |
85 ms |
8232 KB |
Output is correct |
25 |
Correct |
76 ms |
8552 KB |
Output is correct |
26 |
Correct |
88 ms |
10520 KB |
Output is correct |
27 |
Correct |
73 ms |
8924 KB |
Output is correct |
28 |
Correct |
93 ms |
10588 KB |
Output is correct |
29 |
Correct |
92 ms |
10556 KB |
Output is correct |
30 |
Correct |
105 ms |
10616 KB |
Output is correct |
31 |
Correct |
121 ms |
10768 KB |
Output is correct |
32 |
Correct |
102 ms |
10768 KB |
Output is correct |
33 |
Correct |
251 ms |
17192 KB |
Output is correct |
34 |
Correct |
275 ms |
17452 KB |
Output is correct |
35 |
Incorrect |
341 ms |
18404 KB |
Output isn't correct |
36 |
Correct |
271 ms |
17944 KB |
Output is correct |
37 |
Correct |
282 ms |
18140 KB |
Output is correct |
38 |
Incorrect |
396 ms |
19472 KB |
Output isn't correct |
39 |
Correct |
266 ms |
18944 KB |
Output is correct |
40 |
Correct |
261 ms |
18960 KB |
Output is correct |
41 |
Incorrect |
460 ms |
20964 KB |
Output isn't correct |
42 |
Correct |
265 ms |
19640 KB |
Output is correct |
43 |
Correct |
293 ms |
19848 KB |
Output is correct |
44 |
Incorrect |
441 ms |
23616 KB |
Output isn't correct |
45 |
Correct |
278 ms |
22712 KB |
Output is correct |
46 |
Correct |
290 ms |
22736 KB |
Output is correct |
47 |
Incorrect |
537 ms |
25020 KB |
Output isn't correct |
48 |
Correct |
278 ms |
24072 KB |
Output is correct |
49 |
Correct |
279 ms |
24192 KB |
Output is correct |
50 |
Incorrect |
515 ms |
26940 KB |
Output isn't correct |
51 |
Correct |
296 ms |
24712 KB |
Output is correct |
52 |
Correct |
321 ms |
25156 KB |
Output is correct |
53 |
Incorrect |
610 ms |
29536 KB |
Output isn't correct |
54 |
Correct |
288 ms |
26200 KB |
Output is correct |
55 |
Correct |
295 ms |
26484 KB |
Output is correct |
56 |
Incorrect |
630 ms |
32912 KB |
Output isn't correct |
57 |
Correct |
297 ms |
30664 KB |
Output is correct |
58 |
Correct |
320 ms |
31104 KB |
Output is correct |
59 |
Incorrect |
702 ms |
35928 KB |
Output isn't correct |
60 |
Correct |
312 ms |
33024 KB |
Output is correct |
61 |
Correct |
351 ms |
33268 KB |
Output is correct |
62 |
Incorrect |
756 ms |
38744 KB |
Output isn't correct |
63 |
Correct |
609 ms |
33192 KB |
Output is correct |
64 |
Correct |
716 ms |
38332 KB |
Output is correct |
65 |
Correct |
646 ms |
34788 KB |
Output is correct |
66 |
Correct |
616 ms |
34748 KB |
Output is correct |
67 |
Correct |
658 ms |
34072 KB |
Output is correct |
68 |
Correct |
455 ms |
33088 KB |
Output is correct |
69 |
Correct |
454 ms |
32984 KB |
Output is correct |
70 |
Correct |
463 ms |
33096 KB |
Output is correct |
71 |
Correct |
451 ms |
33096 KB |
Output is correct |
72 |
Incorrect |
410 ms |
32064 KB |
Output isn't correct |
73 |
Incorrect |
430 ms |
38292 KB |
Output isn't correct |
74 |
Correct |
537 ms |
41292 KB |
Output is correct |
75 |
Correct |
645 ms |
43492 KB |
Output is correct |
76 |
Correct |
643 ms |
42800 KB |
Output is correct |
77 |
Correct |
631 ms |
43412 KB |
Output is correct |
78 |
Correct |
617 ms |
41328 KB |
Output is correct |
79 |
Correct |
495 ms |
38996 KB |
Output is correct |
80 |
Correct |
560 ms |
40072 KB |
Output is correct |
81 |
Correct |
577 ms |
41012 KB |
Output is correct |
82 |
Correct |
630 ms |
41360 KB |
Output is correct |
83 |
Correct |
685 ms |
42420 KB |
Output is correct |
84 |
Correct |
633 ms |
43332 KB |
Output is correct |
85 |
Correct |
683 ms |
42584 KB |
Output is correct |
86 |
Correct |
721 ms |
42628 KB |
Output is correct |
87 |
Correct |
691 ms |
42388 KB |
Output is correct |
88 |
Correct |
679 ms |
40524 KB |
Output is correct |
89 |
Correct |
779 ms |
40492 KB |
Output is correct |
90 |
Correct |
751 ms |
40784 KB |
Output is correct |
91 |
Correct |
709 ms |
39748 KB |
Output is correct |
92 |
Correct |
673 ms |
39916 KB |
Output is correct |