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B - Find snuke

Score : $250$ points

Problem Statement

There is a grid with $H$ horizontal rows and $W$ vertical columns. Each cell has a lowercase English letter written on it. We denote by $(i, j)$ the cell at the $i$-th row from the top and $j$-th column from the left.

The letters written on the grid are represented by $H$ strings $S_1,S_2,\ldots, S_H$, each of length $W$. The $j$-th letter of $S_i$ represents the letter written on $(i, j)$.

There is a unique set of contiguous cells (going vertically, horizontally, or diagonally) in the grid with s, n, u, k, and e written on them in this order.
Find the positions of such cells and print them in the format specified in the Output section.

A tuple of five cells $(A_1,A_2,A_3,A_4,A_5)$ is said to form a set of contiguous cells (going vertically, horizontally, or diagonally) with s, n, u, k, and e written on them in this order if and only if all of the following conditions are satisfied.

• $A_1,A_2,A_3,A_4$ and $A_5$ have letters s, n, u, k, and e written on them, respectively.
• For all $1\leq i\leq 4$, cells $A_i$ and $A_{i+1}$ share a corner or a side.
• The centers of $A_1,A_2,A_3,A_4$, and $A_5$ are on a common line at regular intervals.

Constraints

• $5\leq H\leq 100$
• $5\leq W\leq 100$
• $H$ and $W$ are integers.
• $S_i$ is a string of length $W$ consisting of lowercase English letters.
• The given grid has a unique conforming set of cells.

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Input

The input is given from Standard Input in the following format:

$H$ $W$

$S_1$

$S_2$

$\vdots$

$S_H$

Output

Print five lines in the following format.

Let $(R_1,C_1), (R_2,C_2)\ldots,(R_5,C_5)$ be the cells in the sought set with s, n, u, k, and e written on them, respectively. The $i$-th line should contain $R_i$ and $C_i$ in this order, separated by a space.

In other words, print them in the following format:

``` $R_1$ $C_1$ $R_2$ $C_2$ $\vdots$ $R_5$ $C_5$ ```

See also Sample Inputs and Outputs below.

---

6 6
vgxgpu
amkxks
zhkbpp
hykink
esnuke
zplvfj

5 2
5 3
5 4
5 5
5 6

Tuple $(A_1,A_2,A_3,A_4,A_5)=((5,2),(5,3),(5,4),(5,5),(5,6))$ satisfies the conditions.
Indeed, the letters written on them are s, n, u, k, and e;
for all $1\leq i\leq 4$, cells $A_i$ and $A_{i+1}$ share a side;
and the centers of the cells are on a common line.

---

5 5
ezzzz
zkzzz
ezuzs
zzznz
zzzzs

5 5
4 4
3 3
2 2
1 1

Tuple $(A_1,A_2,A_3,A_4,A_5)=((5,5),(4,4),(3,3),(2,2),(1,1))$ satisfies the conditions.
However, for example, $(A_1,A_2,A_3,A_4,A_5)=((3,5),(4,4),(3,3),(2,2),(3,1))$ violates the third condition because the centers of the cells are not on a common line, although it satisfies the first and second conditions.

---

10 10
kseeusenuk
usesenesnn
kskekeeses
nesnusnkkn
snenuuenke
kukknkeuss
neunnennue
sknuessuku
nksneekknk
neeeuknenk

9 3
8 3
7 3
6 3
5 3